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Finding the Third Proportional to 369,672 and 556,146

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Solution

The third proportional to 369,672 and 556,146 is: 836,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,672 : 556,146 = 556,146 : x
  2. Step 2: Convert to fraction form
    369,672/556,146 = 556,146/x
  3. Step 3: Cross multiply
    369,672x = 556,146 × 556,146
  4. Step 4: Simplify right side
    369,672x = 309,298,373,316
  5. Step 5: Solve for x
    x = 309,298,373,316/369,672
  6. Step 6: Final answer
    x = 836,683.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.