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Finding the Third Proportional to 357,210 and 486,459

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Solution

The third proportional to 357,210 and 486,459 is: 662,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,210 : 486,459 = 486,459 : x
  2. Step 2: Convert to fraction form
    357,210/486,459 = 486,459/x
  3. Step 3: Cross multiply
    357,210x = 486,459 × 486,459
  4. Step 4: Simplify right side
    357,210x = 236,642,358,681
  5. Step 5: Solve for x
    x = 236,642,358,681/357,210
  6. Step 6: Final answer
    x = 662,474.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.