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Finding the Third Proportional to 323,882,534 and 705,268,588

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Solution

The third proportional to 323,882,534 and 705,268,588 is: 1,535,753,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,882,534 : 705,268,588 = 705,268,588 : x
  2. Step 2: Convert to fraction form
    323,882,534/705,268,588 = 705,268,588/x
  3. Step 3: Cross multiply
    323,882,534x = 705,268,588 × 705,268,588
  4. Step 4: Simplify right side
    323,882,534x = 497,403,781,219,513,728
  5. Step 5: Solve for x
    x = 497,403,781,219,513,728/323,882,534
  6. Step 6: Final answer
    x = 1,535,753,642.15

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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.