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Finding the Third Proportional to 476,501 and 740,888

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Solution

The third proportional to 476,501 and 740,888 is: 1,151,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,501 : 740,888 = 740,888 : x
  2. Step 2: Convert to fraction form
    476,501/740,888 = 740,888/x
  3. Step 3: Cross multiply
    476,501x = 740,888 × 740,888
  4. Step 4: Simplify right side
    476,501x = 548,915,028,544
  5. Step 5: Solve for x
    x = 548,915,028,544/476,501
  6. Step 6: Final answer
    x = 1,151,970.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.