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Finding the Third Proportional to 359,824 and 528,065

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Solution

The third proportional to 359,824 and 528,065 is: 774,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,824 : 528,065 = 528,065 : x
  2. Step 2: Convert to fraction form
    359,824/528,065 = 528,065/x
  3. Step 3: Cross multiply
    359,824x = 528,065 × 528,065
  4. Step 4: Simplify right side
    359,824x = 278,852,644,225
  5. Step 5: Solve for x
    x = 278,852,644,225/359,824
  6. Step 6: Final answer
    x = 774,969.55

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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.