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Finding the Third Proportional to 652,712 and 997,829

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Solution

The third proportional to 652,712 and 997,829 is: 1,525,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,712 : 997,829 = 997,829 : x
  2. Step 2: Convert to fraction form
    652,712/997,829 = 997,829/x
  3. Step 3: Cross multiply
    652,712x = 997,829 × 997,829
  4. Step 4: Simplify right side
    652,712x = 995,662,713,241
  5. Step 5: Solve for x
    x = 995,662,713,241/652,712
  6. Step 6: Final answer
    x = 1,525,424.25

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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.