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Finding the Third Proportional to 352,644 and 758,316

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Solution

The third proportional to 352,644 and 758,316 is: 1,630,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,644 : 758,316 = 758,316 : x
  2. Step 2: Convert to fraction form
    352,644/758,316 = 758,316/x
  3. Step 3: Cross multiply
    352,644x = 758,316 × 758,316
  4. Step 4: Simplify right side
    352,644x = 575,043,155,856
  5. Step 5: Solve for x
    x = 575,043,155,856/352,644
  6. Step 6: Final answer
    x = 1,630,661.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.