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Finding the Third Proportional to 459,754 and 717,575

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Solution

The third proportional to 459,754 and 717,575 is: 1,119,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,754 : 717,575 = 717,575 : x
  2. Step 2: Convert to fraction form
    459,754/717,575 = 717,575/x
  3. Step 3: Cross multiply
    459,754x = 717,575 × 717,575
  4. Step 4: Simplify right side
    459,754x = 514,913,880,625
  5. Step 5: Solve for x
    x = 514,913,880,625/459,754
  6. Step 6: Final answer
    x = 1,119,976.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.