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Finding the Third Proportional to 533,307 and 880,852.50

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Solution

The third proportional to 533,307 and 880,852.50 is: 1,454,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,307 : 880,852.50 = 880,852.50 : x
  2. Step 2: Convert to fraction form
    533,307/880,852.50 = 880,852.50/x
  3. Step 3: Cross multiply
    533,307x = 880,852.50 × 880,852.50
  4. Step 4: Simplify right side
    533,307x = 775,901,126,756.25
  5. Step 5: Solve for x
    x = 775,901,126,756.25/533,307
  6. Step 6: Final answer
    x = 1,454,886.45

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.