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Finding the Third Proportional to 553,694 and 791,776

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Solution

The third proportional to 553,694 and 791,776 is: 1,132,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,694 : 791,776 = 791,776 : x
  2. Step 2: Convert to fraction form
    553,694/791,776 = 791,776/x
  3. Step 3: Cross multiply
    553,694x = 791,776 × 791,776
  4. Step 4: Simplify right side
    553,694x = 626,909,234,176
  5. Step 5: Solve for x
    x = 626,909,234,176/553,694
  6. Step 6: Final answer
    x = 1,132,230.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.