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Finding the Third Proportional to 262,924 and 575,602

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Solution

The third proportional to 262,924 and 575,602 is: 1,260,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,924 : 575,602 = 575,602 : x
  2. Step 2: Convert to fraction form
    262,924/575,602 = 575,602/x
  3. Step 3: Cross multiply
    262,924x = 575,602 × 575,602
  4. Step 4: Simplify right side
    262,924x = 331,317,662,404
  5. Step 5: Solve for x
    x = 331,317,662,404/262,924
  6. Step 6: Final answer
    x = 1,260,127.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.