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Finding the Third Proportional to 350,542.69 and 572,347.69

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Solution

The third proportional to 350,542.69 and 572,347.69 is: 934,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,542.69 : 572,347.69 = 572,347.69 : x
  2. Step 2: Convert to fraction form
    350,542.69/572,347.69 = 572,347.69/x
  3. Step 3: Cross multiply
    350,542.69x = 572,347.69 × 572,347.69
  4. Step 4: Simplify right side
    350,542.69x = 327,581,875,386.60
  5. Step 5: Solve for x
    x = 327,581,875,386.60/350,542.69
  6. Step 6: Final answer
    x = 934,499.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.