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Finding the Third Proportional to 305,040,730 and 429,564,566.50

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Solution

The third proportional to 305,040,730 and 429,564,566.50 is: 604,921,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,040,730 : 429,564,566.50 = 429,564,566.50 : x
  2. Step 2: Convert to fraction form
    305,040,730/429,564,566.50 = 429,564,566.50/x
  3. Step 3: Cross multiply
    305,040,730x = 429,564,566.50 × 429,564,566.50
  4. Step 4: Simplify right side
    305,040,730x = 184,525,716,792,332,928
  5. Step 5: Solve for x
    x = 184,525,716,792,332,928/305,040,730
  6. Step 6: Final answer
    x = 604,921,568.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.