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Finding the Third Proportional to 485,358 and 734,823.75

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Solution

The third proportional to 485,358 and 734,823.75 is: 1,112,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,358 : 734,823.75 = 734,823.75 : x
  2. Step 2: Convert to fraction form
    485,358/734,823.75 = 734,823.75/x
  3. Step 3: Cross multiply
    485,358x = 734,823.75 × 734,823.75
  4. Step 4: Simplify right side
    485,358x = 539,965,943,564.06
  5. Step 5: Solve for x
    x = 539,965,943,564.06/485,358
  6. Step 6: Final answer
    x = 1,112,510.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.