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Finding the Third Proportional to 583,438.50 and 1,207,377

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Solution

The third proportional to 583,438.50 and 1,207,377 is: 2,498,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,438.50 : 1,207,377 = 1,207,377 : x
  2. Step 2: Convert to fraction form
    583,438.50/1,207,377 = 1,207,377/x
  3. Step 3: Cross multiply
    583,438.50x = 1,207,377 × 1,207,377
  4. Step 4: Simplify right side
    583,438.50x = 1,457,759,220,129
  5. Step 5: Solve for x
    x = 1,457,759,220,129/583,438.50
  6. Step 6: Final answer
    x = 2,498,565.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.