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Finding the Third Proportional to 249,445.50 and 585,645

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Solution

The third proportional to 249,445.50 and 585,645 is: 1,374,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,445.50 : 585,645 = 585,645 : x
  2. Step 2: Convert to fraction form
    249,445.50/585,645 = 585,645/x
  3. Step 3: Cross multiply
    249,445.50x = 585,645 × 585,645
  4. Step 4: Simplify right side
    249,445.50x = 342,980,066,025
  5. Step 5: Solve for x
    x = 342,980,066,025/249,445.50
  6. Step 6: Final answer
    x = 1,374,969.95

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.