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Finding the Third Proportional to 344,358 and 758,316

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Solution

The third proportional to 344,358 and 758,316 is: 1,669,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,358 : 758,316 = 758,316 : x
  2. Step 2: Convert to fraction form
    344,358/758,316 = 758,316/x
  3. Step 3: Cross multiply
    344,358x = 758,316 × 758,316
  4. Step 4: Simplify right side
    344,358x = 575,043,155,856
  5. Step 5: Solve for x
    x = 575,043,155,856/344,358
  6. Step 6: Final answer
    x = 1,669,899.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.