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Finding the Third Proportional to 427,657.22 and 597,890.53

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Solution

The third proportional to 427,657.22 and 597,890.53 is: 835,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,657.22 : 597,890.53 = 597,890.53 : x
  2. Step 2: Convert to fraction form
    427,657.22/597,890.53 = 597,890.53/x
  3. Step 3: Cross multiply
    427,657.22x = 597,890.53 × 597,890.53
  4. Step 4: Simplify right side
    427,657.22x = 357,473,087,358.41
  5. Step 5: Solve for x
    x = 357,473,087,358.41/427,657.22
  6. Step 6: Final answer
    x = 835,886.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.