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Finding the Third Proportional to 652,716 and 997,835

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Solution

The third proportional to 652,716 and 997,835 is: 1,525,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,716 : 997,835 = 997,835 : x
  2. Step 2: Convert to fraction form
    652,716/997,835 = 997,835/x
  3. Step 3: Cross multiply
    652,716x = 997,835 × 997,835
  4. Step 4: Simplify right side
    652,716x = 995,674,687,225
  5. Step 5: Solve for x
    x = 995,674,687,225/652,716
  6. Step 6: Final answer
    x = 1,525,433.25

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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.