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Finding the Third Proportional to 357,282 and 772,884

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Solution

The third proportional to 357,282 and 772,884 is: 1,671,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,282 : 772,884 = 772,884 : x
  2. Step 2: Convert to fraction form
    357,282/772,884 = 772,884/x
  3. Step 3: Cross multiply
    357,282x = 772,884 × 772,884
  4. Step 4: Simplify right side
    357,282x = 597,349,677,456
  5. Step 5: Solve for x
    x = 597,349,677,456/357,282
  6. Step 6: Final answer
    x = 1,671,927.71

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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.