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Finding the Third Proportional to 288,783,072 and 623,601,360

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Solution

The third proportional to 288,783,072 and 623,601,360 is: 1,346,611,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,783,072 : 623,601,360 = 623,601,360 : x
  2. Step 2: Convert to fraction form
    288,783,072/623,601,360 = 623,601,360/x
  3. Step 3: Cross multiply
    288,783,072x = 623,601,360 × 623,601,360
  4. Step 4: Simplify right side
    288,783,072x = 388,878,656,193,849,600
  5. Step 5: Solve for x
    x = 388,878,656,193,849,600/288,783,072
  6. Step 6: Final answer
    x = 1,346,611,674.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.