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Finding the Third Proportional to 435,397 and 672,513.50

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Solution

The third proportional to 435,397 and 672,513.50 is: 1,038,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,397 : 672,513.50 = 672,513.50 : x
  2. Step 2: Convert to fraction form
    435,397/672,513.50 = 672,513.50/x
  3. Step 3: Cross multiply
    435,397x = 672,513.50 × 672,513.50
  4. Step 4: Simplify right side
    435,397x = 452,274,407,682.25
  5. Step 5: Solve for x
    x = 452,274,407,682.25/435,397
  6. Step 6: Final answer
    x = 1,038,763.26

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