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Finding the Third Proportional to 432,352,740 and 669,209,382

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Solution

The third proportional to 432,352,740 and 669,209,382 is: 1,035,823,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,352,740 : 669,209,382 = 669,209,382 : x
  2. Step 2: Convert to fraction form
    432,352,740/669,209,382 = 669,209,382/x
  3. Step 3: Cross multiply
    432,352,740x = 669,209,382 × 669,209,382
  4. Step 4: Simplify right side
    432,352,740x = 447,841,196,956,821,952
  5. Step 5: Solve for x
    x = 447,841,196,956,821,952/432,352,740
  6. Step 6: Final answer
    x = 1,035,823,658.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.