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Finding the Third Proportional to 191,577 and 416,316

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Solution

The third proportional to 191,577 and 416,316 is: 904,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,577 : 416,316 = 416,316 : x
  2. Step 2: Convert to fraction form
    191,577/416,316 = 416,316/x
  3. Step 3: Cross multiply
    191,577x = 416,316 × 416,316
  4. Step 4: Simplify right side
    191,577x = 173,319,011,856
  5. Step 5: Solve for x
    x = 173,319,011,856/191,577
  6. Step 6: Final answer
    x = 904,696.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.