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Finding the Third Proportional to 252,030 and 399,271.13

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Solution

The third proportional to 252,030 and 399,271.13 is: 632,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,030 : 399,271.13 = 399,271.13 : x
  2. Step 2: Convert to fraction form
    252,030/399,271.13 = 399,271.13/x
  3. Step 3: Cross multiply
    252,030x = 399,271.13 × 399,271.13
  4. Step 4: Simplify right side
    252,030x = 159,417,431,258.77
  5. Step 5: Solve for x
    x = 159,417,431,258.77/252,030
  6. Step 6: Final answer
    x = 632,533.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.