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Finding the Third Proportional to 302,029,260 and 465,971,836.50

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Solution

The third proportional to 302,029,260 and 465,971,836.50 is: 718,903,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,029,260 : 465,971,836.50 = 465,971,836.50 : x
  2. Step 2: Convert to fraction form
    302,029,260/465,971,836.50 = 465,971,836.50/x
  3. Step 3: Cross multiply
    302,029,260x = 465,971,836.50 × 465,971,836.50
  4. Step 4: Simplify right side
    302,029,260x = 217,129,752,411,182,720
  5. Step 5: Solve for x
    x = 217,129,752,411,182,720/302,029,260
  6. Step 6: Final answer
    x = 718,903,037.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.