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Finding the Third Proportional to 315,107,734 and 506,290,426

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Solution

The third proportional to 315,107,734 and 506,290,426 is: 813,467,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107,734 : 506,290,426 = 506,290,426 : x
  2. Step 2: Convert to fraction form
    315,107,734/506,290,426 = 506,290,426/x
  3. Step 3: Cross multiply
    315,107,734x = 506,290,426 × 506,290,426
  4. Step 4: Simplify right side
    315,107,734x = 256,329,995,459,261,472
  5. Step 5: Solve for x
    x = 256,329,995,459,261,472/315,107,734
  6. Step 6: Final answer
    x = 813,467,801.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.