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Finding the Third Proportional to 652,314 and 995,342

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Solution

The third proportional to 652,314 and 995,342 is: 1,518,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,314 : 995,342 = 995,342 : x
  2. Step 2: Convert to fraction form
    652,314/995,342 = 995,342/x
  3. Step 3: Cross multiply
    652,314x = 995,342 × 995,342
  4. Step 4: Simplify right side
    652,314x = 990,705,696,964
  5. Step 5: Solve for x
    x = 990,705,696,964/652,314
  6. Step 6: Final answer
    x = 1,518,755.84

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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.