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Finding the Third Proportional to 275,312 and 403,870

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Solution

The third proportional to 275,312 and 403,870 is: 592,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,312 : 403,870 = 403,870 : x
  2. Step 2: Convert to fraction form
    275,312/403,870 = 403,870/x
  3. Step 3: Cross multiply
    275,312x = 403,870 × 403,870
  4. Step 4: Simplify right side
    275,312x = 163,110,976,900
  5. Step 5: Solve for x
    x = 163,110,976,900/275,312
  6. Step 6: Final answer
    x = 592,458.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.