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Finding the Third Proportional to 249,876 and 528,732

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Solution

The third proportional to 249,876 and 528,732 is: 1,118,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,876 : 528,732 = 528,732 : x
  2. Step 2: Convert to fraction form
    249,876/528,732 = 528,732/x
  3. Step 3: Cross multiply
    249,876x = 528,732 × 528,732
  4. Step 4: Simplify right side
    249,876x = 279,557,527,824
  5. Step 5: Solve for x
    x = 279,557,527,824/249,876
  6. Step 6: Final answer
    x = 1,118,785.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.