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Finding the Third Proportional to 336,080 and 711,516

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Solution

The third proportional to 336,080 and 711,516 is: 1,506,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,080 : 711,516 = 711,516 : x
  2. Step 2: Convert to fraction form
    336,080/711,516 = 711,516/x
  3. Step 3: Cross multiply
    336,080x = 711,516 × 711,516
  4. Step 4: Simplify right side
    336,080x = 506,255,018,256
  5. Step 5: Solve for x
    x = 506,255,018,256/336,080
  6. Step 6: Final answer
    x = 1,506,352.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.