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Finding the Third Proportional to 434,160 and 670,929

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Solution

The third proportional to 434,160 and 670,929 is: 1,036,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,160 : 670,929 = 670,929 : x
  2. Step 2: Convert to fraction form
    434,160/670,929 = 670,929/x
  3. Step 3: Cross multiply
    434,160x = 670,929 × 670,929
  4. Step 4: Simplify right side
    434,160x = 450,145,723,041
  5. Step 5: Solve for x
    x = 450,145,723,041/434,160
  6. Step 6: Final answer
    x = 1,036,819.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.