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Finding the Third Proportional to 660,498 and 958,491

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Solution

The third proportional to 660,498 and 958,491 is: 1,390,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,498 : 958,491 = 958,491 : x
  2. Step 2: Convert to fraction form
    660,498/958,491 = 958,491/x
  3. Step 3: Cross multiply
    660,498x = 958,491 × 958,491
  4. Step 4: Simplify right side
    660,498x = 918,704,997,081
  5. Step 5: Solve for x
    x = 918,704,997,081/660,498
  6. Step 6: Final answer
    x = 1,390,927.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.