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Finding the Third Proportional to 337,681 and 534,709.50

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Solution

The third proportional to 337,681 and 534,709.50 is: 846,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,681 : 534,709.50 = 534,709.50 : x
  2. Step 2: Convert to fraction form
    337,681/534,709.50 = 534,709.50/x
  3. Step 3: Cross multiply
    337,681x = 534,709.50 × 534,709.50
  4. Step 4: Simplify right side
    337,681x = 285,914,249,390.25
  5. Step 5: Solve for x
    x = 285,914,249,390.25/337,681
  6. Step 6: Final answer
    x = 846,699.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.