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Finding the Third Proportional to 497,568.50 and 745,570.50

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Solution

The third proportional to 497,568.50 and 745,570.50 is: 1,117,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,568.50 : 745,570.50 = 745,570.50 : x
  2. Step 2: Convert to fraction form
    497,568.50/745,570.50 = 745,570.50/x
  3. Step 3: Cross multiply
    497,568.50x = 745,570.50 × 745,570.50
  4. Step 4: Simplify right side
    497,568.50x = 555,875,370,470.25
  5. Step 5: Solve for x
    x = 555,875,370,470.25/497,568.50
  6. Step 6: Final answer
    x = 1,117,183.60

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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.