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Finding the Third Proportional to 565,560 and 829,332

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Solution

The third proportional to 565,560 and 829,332 is: 1,216,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,560 : 829,332 = 829,332 : x
  2. Step 2: Convert to fraction form
    565,560/829,332 = 829,332/x
  3. Step 3: Cross multiply
    565,560x = 829,332 × 829,332
  4. Step 4: Simplify right side
    565,560x = 687,791,566,224
  5. Step 5: Solve for x
    x = 687,791,566,224/565,560
  6. Step 6: Final answer
    x = 1,216,124.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.