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Finding the Third Proportional to 357,862.50 and 780,029

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Solution

The third proportional to 357,862.50 and 780,029 is: 1,700,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,862.50 : 780,029 = 780,029 : x
  2. Step 2: Convert to fraction form
    357,862.50/780,029 = 780,029/x
  3. Step 3: Cross multiply
    357,862.50x = 780,029 × 780,029
  4. Step 4: Simplify right side
    357,862.50x = 608,445,240,841
  5. Step 5: Solve for x
    x = 608,445,240,841/357,862.50
  6. Step 6: Final answer
    x = 1,700,220.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.