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Finding the Third Proportional to 564,448.50 and 1,207,444.50

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Solution

The third proportional to 564,448.50 and 1,207,444.50 is: 2,582,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,448.50 : 1,207,444.50 = 1,207,444.50 : x
  2. Step 2: Convert to fraction form
    564,448.50/1,207,444.50 = 1,207,444.50/x
  3. Step 3: Cross multiply
    564,448.50x = 1,207,444.50 × 1,207,444.50
  4. Step 4: Simplify right side
    564,448.50x = 1,457,922,220,580.25
  5. Step 5: Solve for x
    x = 1,457,922,220,580.25/564,448.50
  6. Step 6: Final answer
    x = 2,582,914.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.