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Finding the Third Proportional to 355,407.75 and 767,718

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Solution

The third proportional to 355,407.75 and 767,718 is: 1,658,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,407.75 : 767,718 = 767,718 : x
  2. Step 2: Convert to fraction form
    355,407.75/767,718 = 767,718/x
  3. Step 3: Cross multiply
    355,407.75x = 767,718 × 767,718
  4. Step 4: Simplify right side
    355,407.75x = 589,390,927,524
  5. Step 5: Solve for x
    x = 589,390,927,524/355,407.75
  6. Step 6: Final answer
    x = 1,658,351.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.