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Finding the Third Proportional to 310,208.50 and 497,706

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Solution

The third proportional to 310,208.50 and 497,706 is: 798,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,208.50 : 497,706 = 497,706 : x
  2. Step 2: Convert to fraction form
    310,208.50/497,706 = 497,706/x
  3. Step 3: Cross multiply
    310,208.50x = 497,706 × 497,706
  4. Step 4: Simplify right side
    310,208.50x = 247,711,262,436
  5. Step 5: Solve for x
    x = 247,711,262,436/310,208.50
  6. Step 6: Final answer
    x = 798,531.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.