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Finding the Third Proportional to 459,049 and 688,574.50

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Solution

The third proportional to 459,049 and 688,574.50 is: 1,032,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,049 : 688,574.50 = 688,574.50 : x
  2. Step 2: Convert to fraction form
    459,049/688,574.50 = 688,574.50/x
  3. Step 3: Cross multiply
    459,049x = 688,574.50 × 688,574.50
  4. Step 4: Simplify right side
    459,049x = 474,134,842,050.25
  5. Step 5: Solve for x
    x = 474,134,842,050.25/459,049
  6. Step 6: Final answer
    x = 1,032,863.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.