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Finding the Third Proportional to 584,541 and 792,139.50

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Solution

The third proportional to 584,541 and 792,139.50 is: 1,073,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,541 : 792,139.50 = 792,139.50 : x
  2. Step 2: Convert to fraction form
    584,541/792,139.50 = 792,139.50/x
  3. Step 3: Cross multiply
    584,541x = 792,139.50 × 792,139.50
  4. Step 4: Simplify right side
    584,541x = 627,484,987,460.25
  5. Step 5: Solve for x
    x = 627,484,987,460.25/584,541
  6. Step 6: Final answer
    x = 1,073,466.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.