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Finding the Third Proportional to 302,044 and 705,430

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Solution

The third proportional to 302,044 and 705,430 is: 1,647,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,044 : 705,430 = 705,430 : x
  2. Step 2: Convert to fraction form
    302,044/705,430 = 705,430/x
  3. Step 3: Cross multiply
    302,044x = 705,430 × 705,430
  4. Step 4: Simplify right side
    302,044x = 497,631,484,900
  5. Step 5: Solve for x
    x = 497,631,484,900/302,044
  6. Step 6: Final answer
    x = 1,647,546.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.