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Finding the Third Proportional to 310,513.88 and 665,294.25

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Solution

The third proportional to 310,513.88 and 665,294.25 is: 1,425,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,513.88 : 665,294.25 = 665,294.25 : x
  2. Step 2: Convert to fraction form
    310,513.88/665,294.25 = 665,294.25/x
  3. Step 3: Cross multiply
    310,513.88x = 665,294.25 × 665,294.25
  4. Step 4: Simplify right side
    310,513.88x = 442,616,439,083.06
  5. Step 5: Solve for x
    x = 442,616,439,083.06/310,513.88
  6. Step 6: Final answer
    x = 1,425,432.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.