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Finding the Third Proportional to 249,816 and 380,973

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Solution

The third proportional to 249,816 and 380,973 is: 580,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,816 : 380,973 = 380,973 : x
  2. Step 2: Convert to fraction form
    249,816/380,973 = 380,973/x
  3. Step 3: Cross multiply
    249,816x = 380,973 × 380,973
  4. Step 4: Simplify right side
    249,816x = 145,140,426,729
  5. Step 5: Solve for x
    x = 145,140,426,729/249,816
  6. Step 6: Final answer
    x = 580,989.32

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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.