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Finding the Third Proportional to 528,632 and 851,178

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Solution

The third proportional to 528,632 and 851,178 is: 1,370,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,632 : 851,178 = 851,178 : x
  2. Step 2: Convert to fraction form
    528,632/851,178 = 851,178/x
  3. Step 3: Cross multiply
    528,632x = 851,178 × 851,178
  4. Step 4: Simplify right side
    528,632x = 724,503,987,684
  5. Step 5: Solve for x
    x = 724,503,987,684/528,632
  6. Step 6: Final answer
    x = 1,370,526.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.