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Finding the Third Proportional to 369,765 and 528,402

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Solution

The third proportional to 369,765 and 528,402 is: 755,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,765 : 528,402 = 528,402 : x
  2. Step 2: Convert to fraction form
    369,765/528,402 = 528,402/x
  3. Step 3: Cross multiply
    369,765x = 528,402 × 528,402
  4. Step 4: Simplify right side
    369,765x = 279,208,673,604
  5. Step 5: Solve for x
    x = 279,208,673,604/369,765
  6. Step 6: Final answer
    x = 755,097.63

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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.