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Finding the Third Proportional to 584,002.50 and 1,267,140

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Solution

The third proportional to 584,002.50 and 1,267,140 is: 2,749,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,002.50 : 1,267,140 = 1,267,140 : x
  2. Step 2: Convert to fraction form
    584,002.50/1,267,140 = 1,267,140/x
  3. Step 3: Cross multiply
    584,002.50x = 1,267,140 × 1,267,140
  4. Step 4: Simplify right side
    584,002.50x = 1,605,643,779,600
  5. Step 5: Solve for x
    x = 1,605,643,779,600/584,002.50
  6. Step 6: Final answer
    x = 2,749,378.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.