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Finding the Third Proportional to 480,930 and 750,510

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Solution

The third proportional to 480,930 and 750,510 is: 1,171,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,930 : 750,510 = 750,510 : x
  2. Step 2: Convert to fraction form
    480,930/750,510 = 750,510/x
  3. Step 3: Cross multiply
    480,930x = 750,510 × 750,510
  4. Step 4: Simplify right side
    480,930x = 563,265,260,100
  5. Step 5: Solve for x
    x = 563,265,260,100/480,930
  6. Step 6: Final answer
    x = 1,171,200.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.