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Finding the Third Proportional to 346,248 and 517,984

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Solution

The third proportional to 346,248 and 517,984 is: 774,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,248 : 517,984 = 517,984 : x
  2. Step 2: Convert to fraction form
    346,248/517,984 = 517,984/x
  3. Step 3: Cross multiply
    346,248x = 517,984 × 517,984
  4. Step 4: Simplify right side
    346,248x = 268,307,424,256
  5. Step 5: Solve for x
    x = 268,307,424,256/346,248
  6. Step 6: Final answer
    x = 774,899.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.