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Finding the Third Proportional to 510,656,524 and 808,736,316

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Solution

The third proportional to 510,656,524 and 808,736,316 is: 1,280,810,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,656,524 : 808,736,316 = 808,736,316 : x
  2. Step 2: Convert to fraction form
    510,656,524/808,736,316 = 808,736,316/x
  3. Step 3: Cross multiply
    510,656,524x = 808,736,316 × 808,736,316
  4. Step 4: Simplify right side
    510,656,524x = 654,054,428,817,251,840
  5. Step 5: Solve for x
    x = 654,054,428,817,251,840/510,656,524
  6. Step 6: Final answer
    x = 1,280,810,874.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.