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Finding the Third Proportional to 660,496 and 958,488

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Solution

The third proportional to 660,496 and 958,488 is: 1,390,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,496 : 958,488 = 958,488 : x
  2. Step 2: Convert to fraction form
    660,496/958,488 = 958,488/x
  3. Step 3: Cross multiply
    660,496x = 958,488 × 958,488
  4. Step 4: Simplify right side
    660,496x = 918,699,246,144
  5. Step 5: Solve for x
    x = 918,699,246,144/660,496
  6. Step 6: Final answer
    x = 1,390,923.25

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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.