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Finding the Third Proportional to 584,811 and 732,050

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Solution

The third proportional to 584,811 and 732,050 is: 916,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,811 : 732,050 = 732,050 : x
  2. Step 2: Convert to fraction form
    584,811/732,050 = 732,050/x
  3. Step 3: Cross multiply
    584,811x = 732,050 × 732,050
  4. Step 4: Simplify right side
    584,811x = 535,897,202,500
  5. Step 5: Solve for x
    x = 535,897,202,500/584,811
  6. Step 6: Final answer
    x = 916,359.65

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.