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Finding the Third Proportional to 566,580 and 829,458

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Solution

The third proportional to 566,580 and 829,458 is: 1,214,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,580 : 829,458 = 829,458 : x
  2. Step 2: Convert to fraction form
    566,580/829,458 = 829,458/x
  3. Step 3: Cross multiply
    566,580x = 829,458 × 829,458
  4. Step 4: Simplify right side
    566,580x = 688,000,573,764
  5. Step 5: Solve for x
    x = 688,000,573,764/566,580
  6. Step 6: Final answer
    x = 1,214,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.