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Finding the Third Proportional to 702,528.75 and 1,657,863

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Solution

The third proportional to 702,528.75 and 1,657,863 is: 3,912,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,528.75 : 1,657,863 = 1,657,863 : x
  2. Step 2: Convert to fraction form
    702,528.75/1,657,863 = 1,657,863/x
  3. Step 3: Cross multiply
    702,528.75x = 1,657,863 × 1,657,863
  4. Step 4: Simplify right side
    702,528.75x = 2,748,509,726,769
  5. Step 5: Solve for x
    x = 2,748,509,726,769/702,528.75
  6. Step 6: Final answer
    x = 3,912,309.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.