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Finding the Third Proportional to 337,353 and 507,001.50

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Solution

The third proportional to 337,353 and 507,001.50 is: 761,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,353 : 507,001.50 = 507,001.50 : x
  2. Step 2: Convert to fraction form
    337,353/507,001.50 = 507,001.50/x
  3. Step 3: Cross multiply
    337,353x = 507,001.50 × 507,001.50
  4. Step 4: Simplify right side
    337,353x = 257,050,521,002.25
  5. Step 5: Solve for x
    x = 257,050,521,002.25/337,353
  6. Step 6: Final answer
    x = 761,963.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.