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Finding the Third Proportional to 465,492 and 711,770

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Solution

The third proportional to 465,492 and 711,770 is: 1,088,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,492 : 711,770 = 711,770 : x
  2. Step 2: Convert to fraction form
    465,492/711,770 = 711,770/x
  3. Step 3: Cross multiply
    465,492x = 711,770 × 711,770
  4. Step 4: Simplify right side
    465,492x = 506,616,532,900
  5. Step 5: Solve for x
    x = 506,616,532,900/465,492
  6. Step 6: Final answer
    x = 1,088,346.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.