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Finding the Third Proportional to 314,904,336 and 687,115,368

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Solution

The third proportional to 314,904,336 and 687,115,368 is: 1,499,272,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,904,336 : 687,115,368 = 687,115,368 : x
  2. Step 2: Convert to fraction form
    314,904,336/687,115,368 = 687,115,368/x
  3. Step 3: Cross multiply
    314,904,336x = 687,115,368 × 687,115,368
  4. Step 4: Simplify right side
    314,904,336x = 472,127,528,941,775,424
  5. Step 5: Solve for x
    x = 472,127,528,941,775,424/314,904,336
  6. Step 6: Final answer
    x = 1,499,272,874.23

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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.