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Finding the Third Proportional to 749,660.25 and 1,068,416.25

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Solution

The third proportional to 749,660.25 and 1,068,416.25 is: 1,522,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,660.25 : 1,068,416.25 = 1,068,416.25 : x
  2. Step 2: Convert to fraction form
    749,660.25/1,068,416.25 = 1,068,416.25/x
  3. Step 3: Cross multiply
    749,660.25x = 1,068,416.25 × 1,068,416.25
  4. Step 4: Simplify right side
    749,660.25x = 1,141,513,283,264.06
  5. Step 5: Solve for x
    x = 1,141,513,283,264.06/749,660.25
  6. Step 6: Final answer
    x = 1,522,707.50

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Why These Related Problems?

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