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Finding the Third Proportional to 313,506,526 and 438,491,184

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Solution

The third proportional to 313,506,526 and 438,491,184 is: 613,303,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,506,526 : 438,491,184 = 438,491,184 : x
  2. Step 2: Convert to fraction form
    313,506,526/438,491,184 = 438,491,184/x
  3. Step 3: Cross multiply
    313,506,526x = 438,491,184 × 438,491,184
  4. Step 4: Simplify right side
    313,506,526x = 192,274,518,445,721,856
  5. Step 5: Solve for x
    x = 192,274,518,445,721,856/313,506,526
  6. Step 6: Final answer
    x = 613,303,081.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.