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Finding the Third Proportional to 301,413 and 644,264.25

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Solution

The third proportional to 301,413 and 644,264.25 is: 1,377,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,413 : 644,264.25 = 644,264.25 : x
  2. Step 2: Convert to fraction form
    301,413/644,264.25 = 644,264.25/x
  3. Step 3: Cross multiply
    301,413x = 644,264.25 × 644,264.25
  4. Step 4: Simplify right side
    301,413x = 415,076,423,828.06
  5. Step 5: Solve for x
    x = 415,076,423,828.06/301,413
  6. Step 6: Final answer
    x = 1,377,101.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.