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Finding the Third Proportional to 584,365.50 and 913,473

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Solution

The third proportional to 584,365.50 and 913,473 is: 1,427,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,365.50 : 913,473 = 913,473 : x
  2. Step 2: Convert to fraction form
    584,365.50/913,473 = 913,473/x
  3. Step 3: Cross multiply
    584,365.50x = 913,473 × 913,473
  4. Step 4: Simplify right side
    584,365.50x = 834,432,921,729
  5. Step 5: Solve for x
    x = 834,432,921,729/584,365.50
  6. Step 6: Final answer
    x = 1,427,929.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.