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Finding the Third Proportional to 480,429 and 1,112,062.50

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Solution

The third proportional to 480,429 and 1,112,062.50 is: 2,574,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,429 : 1,112,062.50 = 1,112,062.50 : x
  2. Step 2: Convert to fraction form
    480,429/1,112,062.50 = 1,112,062.50/x
  3. Step 3: Cross multiply
    480,429x = 1,112,062.50 × 1,112,062.50
  4. Step 4: Simplify right side
    480,429x = 1,236,683,003,906.25
  5. Step 5: Solve for x
    x = 1,236,683,003,906.25/480,429
  6. Step 6: Final answer
    x = 2,574,122.30

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.