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Finding the Third Proportional to 249,501.75 and 589,491

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Solution

The third proportional to 249,501.75 and 589,491 is: 1,392,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,501.75 : 589,491 = 589,491 : x
  2. Step 2: Convert to fraction form
    249,501.75/589,491 = 589,491/x
  3. Step 3: Cross multiply
    249,501.75x = 589,491 × 589,491
  4. Step 4: Simplify right side
    249,501.75x = 347,499,639,081
  5. Step 5: Solve for x
    x = 347,499,639,081/249,501.75
  6. Step 6: Final answer
    x = 1,392,774.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.