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Finding the Third Proportional to 480,690 and 754,030.50

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Solution

The third proportional to 480,690 and 754,030.50 is: 1,182,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,690 : 754,030.50 = 754,030.50 : x
  2. Step 2: Convert to fraction form
    480,690/754,030.50 = 754,030.50/x
  3. Step 3: Cross multiply
    480,690x = 754,030.50 × 754,030.50
  4. Step 4: Simplify right side
    480,690x = 568,561,994,930.25
  5. Step 5: Solve for x
    x = 568,561,994,930.25/480,690
  6. Step 6: Final answer
    x = 1,182,803.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.