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Finding the Third Proportional to 565,262,148 and 853,267,302

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Solution

The third proportional to 565,262,148 and 853,267,302 is: 1,288,013,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,262,148 : 853,267,302 = 853,267,302 : x
  2. Step 2: Convert to fraction form
    565,262,148/853,267,302 = 853,267,302/x
  3. Step 3: Cross multiply
    565,262,148x = 853,267,302 × 853,267,302
  4. Step 4: Simplify right side
    565,262,148x = 728,065,088,662,359,168
  5. Step 5: Solve for x
    x = 728,065,088,662,359,168/565,262,148
  6. Step 6: Final answer
    x = 1,288,013,165.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.