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Finding the Third Proportional to 435,397.50 and 672,495.75

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Solution

The third proportional to 435,397.50 and 672,495.75 is: 1,038,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,397.50 : 672,495.75 = 672,495.75 : x
  2. Step 2: Convert to fraction form
    435,397.50/672,495.75 = 672,495.75/x
  3. Step 3: Cross multiply
    435,397.50x = 672,495.75 × 672,495.75
  4. Step 4: Simplify right side
    435,397.50x = 452,250,533,768.06
  5. Step 5: Solve for x
    x = 452,250,533,768.06/435,397.50
  6. Step 6: Final answer
    x = 1,038,707.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.