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Finding the Third Proportional to 249,789 and 380,941.50

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Solution

The third proportional to 249,789 and 380,941.50 is: 580,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,789 : 380,941.50 = 380,941.50 : x
  2. Step 2: Convert to fraction form
    249,789/380,941.50 = 380,941.50/x
  3. Step 3: Cross multiply
    249,789x = 380,941.50 × 380,941.50
  4. Step 4: Simplify right side
    249,789x = 145,116,426,422.25
  5. Step 5: Solve for x
    x = 145,116,426,422.25/249,789
  6. Step 6: Final answer
    x = 580,956.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.