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Finding the Third Proportional to 460,552 and 701,970

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Solution

The third proportional to 460,552 and 701,970 is: 1,069,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,552 : 701,970 = 701,970 : x
  2. Step 2: Convert to fraction form
    460,552/701,970 = 701,970/x
  3. Step 3: Cross multiply
    460,552x = 701,970 × 701,970
  4. Step 4: Simplify right side
    460,552x = 492,761,880,900
  5. Step 5: Solve for x
    x = 492,761,880,900/460,552
  6. Step 6: Final answer
    x = 1,069,937.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.