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Finding the Third Proportional to 480,896 and 750,458

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Solution

The third proportional to 480,896 and 750,458 is: 1,171,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,896 : 750,458 = 750,458 : x
  2. Step 2: Convert to fraction form
    480,896/750,458 = 750,458/x
  3. Step 3: Cross multiply
    480,896x = 750,458 × 750,458
  4. Step 4: Simplify right side
    480,896x = 563,187,209,764
  5. Step 5: Solve for x
    x = 563,187,209,764/480,896
  6. Step 6: Final answer
    x = 1,171,120.60

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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.