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Finding the Third Proportional to 652,316 and 995,345

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Solution

The third proportional to 652,316 and 995,345 is: 1,518,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,316 : 995,345 = 995,345 : x
  2. Step 2: Convert to fraction form
    652,316/995,345 = 995,345/x
  3. Step 3: Cross multiply
    652,316x = 995,345 × 995,345
  4. Step 4: Simplify right side
    652,316x = 990,711,669,025
  5. Step 5: Solve for x
    x = 990,711,669,025/652,316
  6. Step 6: Final answer
    x = 1,518,760.34

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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.