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Finding the Third Proportional to 359,812 and 528,054

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Solution

The third proportional to 359,812 and 528,054 is: 774,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,812 : 528,054 = 528,054 : x
  2. Step 2: Convert to fraction form
    359,812/528,054 = 528,054/x
  3. Step 3: Cross multiply
    359,812x = 528,054 × 528,054
  4. Step 4: Simplify right side
    359,812x = 278,841,026,916
  5. Step 5: Solve for x
    x = 278,841,026,916/359,812
  6. Step 6: Final answer
    x = 774,963.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.