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Finding the Third Proportional to 464,998.13 and 658,153.50

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Solution

The third proportional to 464,998.13 and 658,153.50 is: 931,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,998.13 : 658,153.50 = 658,153.50 : x
  2. Step 2: Convert to fraction form
    464,998.13/658,153.50 = 658,153.50/x
  3. Step 3: Cross multiply
    464,998.13x = 658,153.50 × 658,153.50
  4. Step 4: Simplify right side
    464,998.13x = 433,166,029,562.25
  5. Step 5: Solve for x
    x = 433,166,029,562.25/464,998.13
  6. Step 6: Final answer
    x = 931,543.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.