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Finding the Third Proportional to 310,206 and 497,703

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Solution

The third proportional to 310,206 and 497,703 is: 798,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,206 : 497,703 = 497,703 : x
  2. Step 2: Convert to fraction form
    310,206/497,703 = 497,703/x
  3. Step 3: Cross multiply
    310,206x = 497,703 × 497,703
  4. Step 4: Simplify right side
    310,206x = 247,708,276,209
  5. Step 5: Solve for x
    x = 247,708,276,209/310,206
  6. Step 6: Final answer
    x = 798,528.32

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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.