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Finding the Third Proportional to 652,095 and 997,592.50

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Solution

The third proportional to 652,095 and 997,592.50 is: 1,526,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,095 : 997,592.50 = 997,592.50 : x
  2. Step 2: Convert to fraction form
    652,095/997,592.50 = 997,592.50/x
  3. Step 3: Cross multiply
    652,095x = 997,592.50 × 997,592.50
  4. Step 4: Simplify right side
    652,095x = 995,190,796,056.25
  5. Step 5: Solve for x
    x = 995,190,796,056.25/652,095
  6. Step 6: Final answer
    x = 1,526,143.88

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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.