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Finding the Third Proportional to 468,148.50 and 705,534.75

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Solution

The third proportional to 468,148.50 and 705,534.75 is: 1,063,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,148.50 : 705,534.75 = 705,534.75 : x
  2. Step 2: Convert to fraction form
    468,148.50/705,534.75 = 705,534.75/x
  3. Step 3: Cross multiply
    468,148.50x = 705,534.75 × 705,534.75
  4. Step 4: Simplify right side
    468,148.50x = 497,779,283,457.56
  5. Step 5: Solve for x
    x = 497,779,283,457.56/468,148.50
  6. Step 6: Final answer
    x = 1,063,293.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.