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Finding the Third Proportional to 262,522 and 572,557

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Solution

The third proportional to 262,522 and 572,557 is: 1,248,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,522 : 572,557 = 572,557 : x
  2. Step 2: Convert to fraction form
    262,522/572,557 = 572,557/x
  3. Step 3: Cross multiply
    262,522x = 572,557 × 572,557
  4. Step 4: Simplify right side
    262,522x = 327,821,518,249
  5. Step 5: Solve for x
    x = 327,821,518,249/262,522
  6. Step 6: Final answer
    x = 1,248,739.22

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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.