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Finding the Third Proportional to 302,315,441 and 453,394,429

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Solution

The third proportional to 302,315,441 and 453,394,429 is: 679,973,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,315,441 : 453,394,429 = 453,394,429 : x
  2. Step 2: Convert to fraction form
    302,315,441/453,394,429 = 453,394,429/x
  3. Step 3: Cross multiply
    302,315,441x = 453,394,429 × 453,394,429
  4. Step 4: Simplify right side
    302,315,441x = 205,566,508,248,236,032
  5. Step 5: Solve for x
    x = 205,566,508,248,236,032/302,315,441
  6. Step 6: Final answer
    x = 679,973,565.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.