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Finding the Third Proportional to 315,470 and 688,032

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Solution

The third proportional to 315,470 and 688,032 is: 1,500,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,470 : 688,032 = 688,032 : x
  2. Step 2: Convert to fraction form
    315,470/688,032 = 688,032/x
  3. Step 3: Cross multiply
    315,470x = 688,032 × 688,032
  4. Step 4: Simplify right side
    315,470x = 473,388,033,024
  5. Step 5: Solve for x
    x = 473,388,033,024/315,470
  6. Step 6: Final answer
    x = 1,500,580.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.