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Finding the Third Proportional to 357,862 and 780,028

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Solution

The third proportional to 357,862 and 780,028 is: 1,700,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,862 : 780,028 = 780,028 : x
  2. Step 2: Convert to fraction form
    357,862/780,028 = 780,028/x
  3. Step 3: Cross multiply
    357,862x = 780,028 × 780,028
  4. Step 4: Simplify right side
    357,862x = 608,443,680,784
  5. Step 5: Solve for x
    x = 608,443,680,784/357,862
  6. Step 6: Final answer
    x = 1,700,218.75

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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.