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Finding the Third Proportional to 369,070 and 569,373

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Solution

The third proportional to 369,070 and 569,373 is: 878,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,070 : 569,373 = 569,373 : x
  2. Step 2: Convert to fraction form
    369,070/569,373 = 569,373/x
  3. Step 3: Cross multiply
    369,070x = 569,373 × 569,373
  4. Step 4: Simplify right side
    369,070x = 324,185,613,129
  5. Step 5: Solve for x
    x = 324,185,613,129/369,070
  6. Step 6: Final answer
    x = 878,385.17

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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.