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Finding the Third Proportional to 319,319 and 532,178

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Solution

The third proportional to 319,319 and 532,178 is: 886,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,319 : 532,178 = 532,178 : x
  2. Step 2: Convert to fraction form
    319,319/532,178 = 532,178/x
  3. Step 3: Cross multiply
    319,319x = 532,178 × 532,178
  4. Step 4: Simplify right side
    319,319x = 283,213,423,684
  5. Step 5: Solve for x
    x = 283,213,423,684/319,319
  6. Step 6: Final answer
    x = 886,929.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.