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Finding the Third Proportional to 330,748 and 525,654

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Solution

The third proportional to 330,748 and 525,654 is: 835,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,748 : 525,654 = 525,654 : x
  2. Step 2: Convert to fraction form
    330,748/525,654 = 525,654/x
  3. Step 3: Cross multiply
    330,748x = 525,654 × 525,654
  4. Step 4: Simplify right side
    330,748x = 276,312,127,716
  5. Step 5: Solve for x
    x = 276,312,127,716/330,748
  6. Step 6: Final answer
    x = 835,415.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.