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Finding the Third Proportional to 249,082.50 and 523,258.50

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Solution

The third proportional to 249,082.50 and 523,258.50 is: 1,099,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,082.50 : 523,258.50 = 523,258.50 : x
  2. Step 2: Convert to fraction form
    249,082.50/523,258.50 = 523,258.50/x
  3. Step 3: Cross multiply
    249,082.50x = 523,258.50 × 523,258.50
  4. Step 4: Simplify right side
    249,082.50x = 273,799,457,822.25
  5. Step 5: Solve for x
    x = 273,799,457,822.25/249,082.50
  6. Step 6: Final answer
    x = 1,099,232.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.