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Finding the Third Proportional to 738,125 and 1,205,282

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Solution

The third proportional to 738,125 and 1,205,282 is: 1,968,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,125 : 1,205,282 = 1,205,282 : x
  2. Step 2: Convert to fraction form
    738,125/1,205,282 = 1,205,282/x
  3. Step 3: Cross multiply
    738,125x = 1,205,282 × 1,205,282
  4. Step 4: Simplify right side
    738,125x = 1,452,704,699,524
  5. Step 5: Solve for x
    x = 1,452,704,699,524/738,125
  6. Step 6: Final answer
    x = 1,968,101.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.