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Finding the Third Proportional to 310,209.50 and 497,707.50

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Solution

The third proportional to 310,209.50 and 497,707.50 is: 798,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,209.50 : 497,707.50 = 497,707.50 : x
  2. Step 2: Convert to fraction form
    310,209.50/497,707.50 = 497,707.50/x
  3. Step 3: Cross multiply
    310,209.50x = 497,707.50 × 497,707.50
  4. Step 4: Simplify right side
    310,209.50x = 247,712,755,556.25
  5. Step 5: Solve for x
    x = 247,712,755,556.25/310,209.50
  6. Step 6: Final answer
    x = 798,533.75

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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.