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Finding the Third Proportional to 235,074 and 507,552

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Solution

The third proportional to 235,074 and 507,552 is: 1,095,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,074 : 507,552 = 507,552 : x
  2. Step 2: Convert to fraction form
    235,074/507,552 = 507,552/x
  3. Step 3: Cross multiply
    235,074x = 507,552 × 507,552
  4. Step 4: Simplify right side
    235,074x = 257,609,032,704
  5. Step 5: Solve for x
    x = 257,609,032,704/235,074
  6. Step 6: Final answer
    x = 1,095,863.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.