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Finding the Third Proportional to 565,584 and 829,368

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Solution

The third proportional to 565,584 and 829,368 is: 1,216,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,584 : 829,368 = 829,368 : x
  2. Step 2: Convert to fraction form
    565,584/829,368 = 829,368/x
  3. Step 3: Cross multiply
    565,584x = 829,368 × 829,368
  4. Step 4: Simplify right side
    565,584x = 687,851,279,424
  5. Step 5: Solve for x
    x = 687,851,279,424/565,584
  6. Step 6: Final answer
    x = 1,216,178.82

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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.