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Finding the Third Proportional to 462,064.50 and 578,400.75

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Solution

The third proportional to 462,064.50 and 578,400.75 is: 724,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,064.50 : 578,400.75 = 578,400.75 : x
  2. Step 2: Convert to fraction form
    462,064.50/578,400.75 = 578,400.75/x
  3. Step 3: Cross multiply
    462,064.50x = 578,400.75 × 578,400.75
  4. Step 4: Simplify right side
    462,064.50x = 334,547,427,600.56
  5. Step 5: Solve for x
    x = 334,547,427,600.56/462,064.50
  6. Step 6: Final answer
    x = 724,027.55

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.