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Finding the Third Proportional to 435,406 and 672,527

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Solution

The third proportional to 435,406 and 672,527 is: 1,038,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406 : 672,527 = 672,527 : x
  2. Step 2: Convert to fraction form
    435,406/672,527 = 672,527/x
  3. Step 3: Cross multiply
    435,406x = 672,527 × 672,527
  4. Step 4: Simplify right side
    435,406x = 452,292,565,729
  5. Step 5: Solve for x
    x = 452,292,565,729/435,406
  6. Step 6: Final answer
    x = 1,038,783.49

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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.