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Finding the Third Proportional to 376,784 and 528,066

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Solution

The third proportional to 376,784 and 528,066 is: 740,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,784 : 528,066 = 528,066 : x
  2. Step 2: Convert to fraction form
    376,784/528,066 = 528,066/x
  3. Step 3: Cross multiply
    376,784x = 528,066 × 528,066
  4. Step 4: Simplify right side
    376,784x = 278,853,700,356
  5. Step 5: Solve for x
    x = 278,853,700,356/376,784
  6. Step 6: Final answer
    x = 740,089.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.