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Finding the Third Proportional to 295,935 and 652,192.50

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Solution

The third proportional to 295,935 and 652,192.50 is: 1,437,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,935 : 652,192.50 = 652,192.50 : x
  2. Step 2: Convert to fraction form
    295,935/652,192.50 = 652,192.50/x
  3. Step 3: Cross multiply
    295,935x = 652,192.50 × 652,192.50
  4. Step 4: Simplify right side
    295,935x = 425,355,057,056.25
  5. Step 5: Solve for x
    x = 425,355,057,056.25/295,935
  6. Step 6: Final answer
    x = 1,437,325.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.