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Finding the Third Proportional to 249,225.75 and 585,109.13

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Solution

The third proportional to 249,225.75 and 585,109.13 is: 1,373,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,225.75 : 585,109.13 = 585,109.13 : x
  2. Step 2: Convert to fraction form
    249,225.75/585,109.13 = 585,109.13/x
  3. Step 3: Cross multiply
    249,225.75x = 585,109.13 × 585,109.13
  4. Step 4: Simplify right side
    249,225.75x = 342,352,688,158.27
  5. Step 5: Solve for x
    x = 342,352,688,158.27/249,225.75
  6. Step 6: Final answer
    x = 1,373,664.99

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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.