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Finding the Third Proportional to 337,246.50 and 698,264.25

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Solution

The third proportional to 337,246.50 and 698,264.25 is: 1,445,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,246.50 : 698,264.25 = 698,264.25 : x
  2. Step 2: Convert to fraction form
    337,246.50/698,264.25 = 698,264.25/x
  3. Step 3: Cross multiply
    337,246.50x = 698,264.25 × 698,264.25
  4. Step 4: Simplify right side
    337,246.50x = 487,572,962,828.06
  5. Step 5: Solve for x
    x = 487,572,962,828.06/337,246.50
  6. Step 6: Final answer
    x = 1,445,746.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.