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Finding the Third Proportional to 584,145 and 887,179.50

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Solution

The third proportional to 584,145 and 887,179.50 is: 1,347,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,145 : 887,179.50 = 887,179.50 : x
  2. Step 2: Convert to fraction form
    584,145/887,179.50 = 887,179.50/x
  3. Step 3: Cross multiply
    584,145x = 887,179.50 × 887,179.50
  4. Step 4: Simplify right side
    584,145x = 787,087,465,220.25
  5. Step 5: Solve for x
    x = 787,087,465,220.25/584,145
  6. Step 6: Final answer
    x = 1,347,417.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.