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Finding the Third Proportional to 190,528 and 410,624

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Solution

The third proportional to 190,528 and 410,624 is: 884,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,528 : 410,624 = 410,624 : x
  2. Step 2: Convert to fraction form
    190,528/410,624 = 410,624/x
  3. Step 3: Cross multiply
    190,528x = 410,624 × 410,624
  4. Step 4: Simplify right side
    190,528x = 168,612,069,376
  5. Step 5: Solve for x
    x = 168,612,069,376/190,528
  6. Step 6: Final answer
    x = 884,972.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.