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Finding the Third Proportional to 364,356 and 576,054

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Solution

The third proportional to 364,356 and 576,054 is: 910,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,356 : 576,054 = 576,054 : x
  2. Step 2: Convert to fraction form
    364,356/576,054 = 576,054/x
  3. Step 3: Cross multiply
    364,356x = 576,054 × 576,054
  4. Step 4: Simplify right side
    364,356x = 331,838,210,916
  5. Step 5: Solve for x
    x = 331,838,210,916/364,356
  6. Step 6: Final answer
    x = 910,752.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.