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Finding the Third Proportional to 353,127 and 522,823.50

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Solution

The third proportional to 353,127 and 522,823.50 is: 774,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,127 : 522,823.50 = 522,823.50 : x
  2. Step 2: Convert to fraction form
    353,127/522,823.50 = 522,823.50/x
  3. Step 3: Cross multiply
    353,127x = 522,823.50 × 522,823.50
  4. Step 4: Simplify right side
    353,127x = 273,344,412,152.25
  5. Step 5: Solve for x
    x = 273,344,412,152.25/353,127
  6. Step 6: Final answer
    x = 774,068.29

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.