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Finding the Third Proportional to 514,560 and 791,808

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Solution

The third proportional to 514,560 and 791,808 is: 1,218,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,560 : 791,808 = 791,808 : x
  2. Step 2: Convert to fraction form
    514,560/791,808 = 791,808/x
  3. Step 3: Cross multiply
    514,560x = 791,808 × 791,808
  4. Step 4: Simplify right side
    514,560x = 626,959,908,864
  5. Step 5: Solve for x
    x = 626,959,908,864/514,560
  6. Step 6: Final answer
    x = 1,218,438.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.