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Finding the Third Proportional to 249,964 and 529,722

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Solution

The third proportional to 249,964 and 529,722 is: 1,122,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,964 : 529,722 = 529,722 : x
  2. Step 2: Convert to fraction form
    249,964/529,722 = 529,722/x
  3. Step 3: Cross multiply
    249,964x = 529,722 × 529,722
  4. Step 4: Simplify right side
    249,964x = 280,605,397,284
  5. Step 5: Solve for x
    x = 280,605,397,284/249,964
  6. Step 6: Final answer
    x = 1,122,583.24

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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.