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Finding the Third Proportional to 249,428.50 and 380,370

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Solution

The third proportional to 249,428.50 and 380,370 is: 580,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,428.50 : 380,370 = 380,370 : x
  2. Step 2: Convert to fraction form
    249,428.50/380,370 = 380,370/x
  3. Step 3: Cross multiply
    249,428.50x = 380,370 × 380,370
  4. Step 4: Simplify right side
    249,428.50x = 144,681,336,900
  5. Step 5: Solve for x
    x = 144,681,336,900/249,428.50
  6. Step 6: Final answer
    x = 580,051.34

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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.