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Finding the Third Proportional to 336,962 and 741,316

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Solution

The third proportional to 336,962 and 741,316 is: 1,630,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,962 : 741,316 = 741,316 : x
  2. Step 2: Convert to fraction form
    336,962/741,316 = 741,316/x
  3. Step 3: Cross multiply
    336,962x = 741,316 × 741,316
  4. Step 4: Simplify right side
    336,962x = 549,549,411,856
  5. Step 5: Solve for x
    x = 549,549,411,856/336,962
  6. Step 6: Final answer
    x = 1,630,894.32

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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.