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Finding the Third Proportional to 365,762 and 522,033

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Solution

The third proportional to 365,762 and 522,033 is: 745,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,762 : 522,033 = 522,033 : x
  2. Step 2: Convert to fraction form
    365,762/522,033 = 522,033/x
  3. Step 3: Cross multiply
    365,762x = 522,033 × 522,033
  4. Step 4: Simplify right side
    365,762x = 272,518,453,089
  5. Step 5: Solve for x
    x = 272,518,453,089/365,762
  6. Step 6: Final answer
    x = 745,070.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.