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Finding the Third Proportional to 302,390,091 and 659,518,602

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Solution

The third proportional to 302,390,091 and 659,518,602 is: 1,438,422,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,390,091 : 659,518,602 = 659,518,602 : x
  2. Step 2: Convert to fraction form
    302,390,091/659,518,602 = 659,518,602/x
  3. Step 3: Cross multiply
    302,390,091x = 659,518,602 × 659,518,602
  4. Step 4: Simplify right side
    302,390,091x = 434,964,786,384,034,432
  5. Step 5: Solve for x
    x = 434,964,786,384,034,432/302,390,091
  6. Step 6: Final answer
    x = 1,438,422,750.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.