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Finding the Third Proportional to 249,427.13 and 380,368.13

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Solution

The third proportional to 249,427.13 and 380,368.13 is: 580,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,427.13 : 380,368.13 = 380,368.13 : x
  2. Step 2: Convert to fraction form
    249,427.13/380,368.13 = 380,368.13/x
  3. Step 3: Cross multiply
    249,427.13x = 380,368.13 × 380,368.13
  4. Step 4: Simplify right side
    249,427.13x = 144,679,910,516.02
  5. Step 5: Solve for x
    x = 144,679,910,516.02/249,427.13
  6. Step 6: Final answer
    x = 580,048.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.