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Finding the Third Proportional to 430,035,288 and 664,063,822.50

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Solution

The third proportional to 430,035,288 and 664,063,822.50 is: 1,025,452,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,035,288 : 664,063,822.50 = 664,063,822.50 : x
  2. Step 2: Convert to fraction form
    430,035,288/664,063,822.50 = 664,063,822.50/x
  3. Step 3: Cross multiply
    430,035,288x = 664,063,822.50 × 664,063,822.50
  4. Step 4: Simplify right side
    430,035,288x = 440,980,760,353,311,488
  5. Step 5: Solve for x
    x = 440,980,760,353,311,488/430,035,288
  6. Step 6: Final answer
    x = 1,025,452,498.11

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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.