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Finding the Third Proportional to 301,226.25 and 652,044

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Solution

The third proportional to 301,226.25 and 652,044 is: 1,411,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,226.25 : 652,044 = 652,044 : x
  2. Step 2: Convert to fraction form
    301,226.25/652,044 = 652,044/x
  3. Step 3: Cross multiply
    301,226.25x = 652,044 × 652,044
  4. Step 4: Simplify right side
    301,226.25x = 425,161,377,936
  5. Step 5: Solve for x
    x = 425,161,377,936/301,226.25
  6. Step 6: Final answer
    x = 1,411,435.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.