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Finding the Third Proportional to 713,701.50 and 1,569,348

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Solution

The third proportional to 713,701.50 and 1,569,348 is: 3,450,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,701.50 : 1,569,348 = 1,569,348 : x
  2. Step 2: Convert to fraction form
    713,701.50/1,569,348 = 1,569,348/x
  3. Step 3: Cross multiply
    713,701.50x = 1,569,348 × 1,569,348
  4. Step 4: Simplify right side
    713,701.50x = 2,462,853,145,104
  5. Step 5: Solve for x
    x = 2,462,853,145,104/713,701.50
  6. Step 6: Final answer
    x = 3,450,816.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.