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Finding the Third Proportional to 868,407.75 and 1,240,690.50

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Solution

The third proportional to 868,407.75 and 1,240,690.50 is: 1,772,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,407.75 : 1,240,690.50 = 1,240,690.50 : x
  2. Step 2: Convert to fraction form
    868,407.75/1,240,690.50 = 1,240,690.50/x
  3. Step 3: Cross multiply
    868,407.75x = 1,240,690.50 × 1,240,690.50
  4. Step 4: Simplify right side
    868,407.75x = 1,539,312,916,790.25
  5. Step 5: Solve for x
    x = 1,539,312,916,790.25/868,407.75
  6. Step 6: Final answer
    x = 1,772,569.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.