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Finding the Third Proportional to 337,352 and 507,000

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Solution

The third proportional to 337,352 and 507,000 is: 761,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,352 : 507,000 = 507,000 : x
  2. Step 2: Convert to fraction form
    337,352/507,000 = 507,000/x
  3. Step 3: Cross multiply
    337,352x = 507,000 × 507,000
  4. Step 4: Simplify right side
    337,352x = 257,049,000,000
  5. Step 5: Solve for x
    x = 257,049,000,000/337,352
  6. Step 6: Final answer
    x = 761,960.80

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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.