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Finding the Third Proportional to 365,033,056.50 and 556,743,737.25

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Solution

The third proportional to 365,033,056.50 and 556,743,737.25 is: 849,138,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,033,056.50 : 556,743,737.25 = 556,743,737.25 : x
  2. Step 2: Convert to fraction form
    365,033,056.50/556,743,737.25 = 556,743,737.25/x
  3. Step 3: Cross multiply
    365,033,056.50x = 556,743,737.25 × 556,743,737.25
  4. Step 4: Simplify right side
    365,033,056.50x = 309,963,588,967,097,024
  5. Step 5: Solve for x
    x = 309,963,588,967,097,024/365,033,056.50
  6. Step 6: Final answer
    x = 849,138,409.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.