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Finding the Third Proportional to 328,772.25 and 708,750

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Solution

The third proportional to 328,772.25 and 708,750 is: 1,527,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,772.25 : 708,750 = 708,750 : x
  2. Step 2: Convert to fraction form
    328,772.25/708,750 = 708,750/x
  3. Step 3: Cross multiply
    328,772.25x = 708,750 × 708,750
  4. Step 4: Simplify right side
    328,772.25x = 502,326,562,500
  5. Step 5: Solve for x
    x = 502,326,562,500/328,772.25
  6. Step 6: Final answer
    x = 1,527,886.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.