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Finding the Third Proportional to 584,877.27 and 782,322.36

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Solution

The third proportional to 584,877.27 and 782,322.36 is: 1,046,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,877.27 : 782,322.36 = 782,322.36 : x
  2. Step 2: Convert to fraction form
    584,877.27/782,322.36 = 782,322.36/x
  3. Step 3: Cross multiply
    584,877.27x = 782,322.36 × 782,322.36
  4. Step 4: Simplify right side
    584,877.27x = 612,028,280,089.96
  5. Step 5: Solve for x
    x = 612,028,280,089.96/584,877.27
  6. Step 6: Final answer
    x = 1,046,421.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.