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Finding the Third Proportional to 460,701 and 705,723

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Solution

The third proportional to 460,701 and 705,723 is: 1,081,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,701 : 705,723 = 705,723 : x
  2. Step 2: Convert to fraction form
    460,701/705,723 = 705,723/x
  3. Step 3: Cross multiply
    460,701x = 705,723 × 705,723
  4. Step 4: Simplify right side
    460,701x = 498,044,952,729
  5. Step 5: Solve for x
    x = 498,044,952,729/460,701
  6. Step 6: Final answer
    x = 1,081,058.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.