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Finding the Third Proportional to 624,248 and 945,428

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Solution

The third proportional to 624,248 and 945,428 is: 1,431,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,248 : 945,428 = 945,428 : x
  2. Step 2: Convert to fraction form
    624,248/945,428 = 945,428/x
  3. Step 3: Cross multiply
    624,248x = 945,428 × 945,428
  4. Step 4: Simplify right side
    624,248x = 893,834,103,184
  5. Step 5: Solve for x
    x = 893,834,103,184/624,248
  6. Step 6: Final answer
    x = 1,431,857.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.