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Finding the Third Proportional to 362,233,428 and 564,873,396

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Solution

The third proportional to 362,233,428 and 564,873,396 is: 880,873,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,233,428 : 564,873,396 = 564,873,396 : x
  2. Step 2: Convert to fraction form
    362,233,428/564,873,396 = 564,873,396/x
  3. Step 3: Cross multiply
    362,233,428x = 564,873,396 × 564,873,396
  4. Step 4: Simplify right side
    362,233,428x = 319,081,953,508,572,800
  5. Step 5: Solve for x
    x = 319,081,953,508,572,800/362,233,428
  6. Step 6: Final answer
    x = 880,873,847.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.