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Finding the Third Proportional to 302,029,254 and 465,971,827.50

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Solution

The third proportional to 302,029,254 and 465,971,827.50 is: 718,903,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,029,254 : 465,971,827.50 = 465,971,827.50 : x
  2. Step 2: Convert to fraction form
    302,029,254/465,971,827.50 = 465,971,827.50/x
  3. Step 3: Cross multiply
    302,029,254x = 465,971,827.50 × 465,971,827.50
  4. Step 4: Simplify right side
    302,029,254x = 217,129,744,023,689,760
  5. Step 5: Solve for x
    x = 217,129,744,023,689,760/302,029,254
  6. Step 6: Final answer
    x = 718,903,023.96

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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.