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Finding the Third Proportional to 625,978.13 and 983,026.13

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Solution

The third proportional to 625,978.13 and 983,026.13 is: 1,543,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,978.13 : 983,026.13 = 983,026.13 : x
  2. Step 2: Convert to fraction form
    625,978.13/983,026.13 = 983,026.13/x
  3. Step 3: Cross multiply
    625,978.13x = 983,026.13 × 983,026.13
  4. Step 4: Simplify right side
    625,978.13x = 966,340,362,432.52
  5. Step 5: Solve for x
    x = 966,340,362,432.52/625,978.13
  6. Step 6: Final answer
    x = 1,543,728.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.