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Finding the Third Proportional to 369,739 and 528,363

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Solution

The third proportional to 369,739 and 528,363 is: 755,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,739 : 528,363 = 528,363 : x
  2. Step 2: Convert to fraction form
    369,739/528,363 = 528,363/x
  3. Step 3: Cross multiply
    369,739x = 528,363 × 528,363
  4. Step 4: Simplify right side
    369,739x = 279,167,459,769
  5. Step 5: Solve for x
    x = 279,167,459,769/369,739
  6. Step 6: Final answer
    x = 755,039.26

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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.