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Finding the Third Proportional to 369,064 and 569,364

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Solution

The third proportional to 369,064 and 569,364 is: 878,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,064 : 569,364 = 569,364 : x
  2. Step 2: Convert to fraction form
    369,064/569,364 = 569,364/x
  3. Step 3: Cross multiply
    369,064x = 569,364 × 569,364
  4. Step 4: Simplify right side
    369,064x = 324,175,364,496
  5. Step 5: Solve for x
    x = 324,175,364,496/369,064
  6. Step 6: Final answer
    x = 878,371.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.