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Finding the Third Proportional to 395,718,156 and 527,564,316

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Solution

The third proportional to 395,718,156 and 527,564,316 is: 703,339,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,718,156 : 527,564,316 = 527,564,316 : x
  2. Step 2: Convert to fraction form
    395,718,156/527,564,316 = 527,564,316/x
  3. Step 3: Cross multiply
    395,718,156x = 527,564,316 × 527,564,316
  4. Step 4: Simplify right side
    395,718,156x = 278,324,107,516,547,840
  5. Step 5: Solve for x
    x = 278,324,107,516,547,840/395,718,156
  6. Step 6: Final answer
    x = 703,339,241.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.