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Finding the Third Proportional to 603,399 and 960,459

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Solution

The third proportional to 603,399 and 960,459 is: 1,528,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,399 : 960,459 = 960,459 : x
  2. Step 2: Convert to fraction form
    603,399/960,459 = 960,459/x
  3. Step 3: Cross multiply
    603,399x = 960,459 × 960,459
  4. Step 4: Simplify right side
    603,399x = 922,481,490,681
  5. Step 5: Solve for x
    x = 922,481,490,681/603,399
  6. Step 6: Final answer
    x = 1,528,808.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.