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Finding the Third Proportional to 596,473.88 and 903,398.06

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Solution

The third proportional to 596,473.88 and 903,398.06 is: 1,368,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,473.88 : 903,398.06 = 903,398.06 : x
  2. Step 2: Convert to fraction form
    596,473.88/903,398.06 = 903,398.06/x
  3. Step 3: Cross multiply
    596,473.88x = 903,398.06 × 903,398.06
  4. Step 4: Simplify right side
    596,473.88x = 816,128,059,328.75
  5. Step 5: Solve for x
    x = 816,128,059,328.75/596,473.88
  6. Step 6: Final answer
    x = 1,368,254.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.