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Finding the Third Proportional to 527,219 and 798,222.50

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Solution

The third proportional to 527,219 and 798,222.50 is: 1,208,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,219 : 798,222.50 = 798,222.50 : x
  2. Step 2: Convert to fraction form
    527,219/798,222.50 = 798,222.50/x
  3. Step 3: Cross multiply
    527,219x = 798,222.50 × 798,222.50
  4. Step 4: Simplify right side
    527,219x = 637,159,159,506.25
  5. Step 5: Solve for x
    x = 637,159,159,506.25/527,219
  6. Step 6: Final answer
    x = 1,208,528.45

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Why These Related Problems?

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