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Finding the Third Proportional to 262,617 and 572,763

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Solution

The third proportional to 262,617 and 572,763 is: 1,249,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,617 : 572,763 = 572,763 : x
  2. Step 2: Convert to fraction form
    262,617/572,763 = 572,763/x
  3. Step 3: Cross multiply
    262,617x = 572,763 × 572,763
  4. Step 4: Simplify right side
    262,617x = 328,057,454,169
  5. Step 5: Solve for x
    x = 328,057,454,169/262,617
  6. Step 6: Final answer
    x = 1,249,185.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.