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Finding the Third Proportional to 247,584 and 384,312

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Solution

The third proportional to 247,584 and 384,312 is: 596,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,584 : 384,312 = 384,312 : x
  2. Step 2: Convert to fraction form
    247,584/384,312 = 384,312/x
  3. Step 3: Cross multiply
    247,584x = 384,312 × 384,312
  4. Step 4: Simplify right side
    247,584x = 147,695,713,344
  5. Step 5: Solve for x
    x = 147,695,713,344/247,584
  6. Step 6: Final answer
    x = 596,547.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.