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Finding the Third Proportional to 595,795.50 and 909,280.69

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Solution

The third proportional to 595,795.50 and 909,280.69 is: 1,387,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,795.50 : 909,280.69 = 909,280.69 : x
  2. Step 2: Convert to fraction form
    595,795.50/909,280.69 = 909,280.69/x
  3. Step 3: Cross multiply
    595,795.50x = 909,280.69 × 909,280.69
  4. Step 4: Simplify right side
    595,795.50x = 826,791,368,660.47
  5. Step 5: Solve for x
    x = 826,791,368,660.47/595,795.50
  6. Step 6: Final answer
    x = 1,387,709.99

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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.