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Finding the Third Proportional to 712,912 and 968,521

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Solution

The third proportional to 712,912 and 968,521 is: 1,315,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,912 : 968,521 = 968,521 : x
  2. Step 2: Convert to fraction form
    712,912/968,521 = 968,521/x
  3. Step 3: Cross multiply
    712,912x = 968,521 × 968,521
  4. Step 4: Simplify right side
    712,912x = 938,032,927,441
  5. Step 5: Solve for x
    x = 938,032,927,441/712,912
  6. Step 6: Final answer
    x = 1,315,776.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.