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Finding the Third Proportional to 385,233.75 and 592,886.25

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Solution

The third proportional to 385,233.75 and 592,886.25 is: 912,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,233.75 : 592,886.25 = 592,886.25 : x
  2. Step 2: Convert to fraction form
    385,233.75/592,886.25 = 592,886.25/x
  3. Step 3: Cross multiply
    385,233.75x = 592,886.25 × 592,886.25
  4. Step 4: Simplify right side
    385,233.75x = 351,514,105,439.06
  5. Step 5: Solve for x
    x = 351,514,105,439.06/385,233.75
  6. Step 6: Final answer
    x = 912,469.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.