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Finding the Third Proportional to 345,360,184 and 531,379,338

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Solution

The third proportional to 345,360,184 and 531,379,338 is: 817,592,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,360,184 : 531,379,338 = 531,379,338 : x
  2. Step 2: Convert to fraction form
    345,360,184/531,379,338 = 531,379,338/x
  3. Step 3: Cross multiply
    345,360,184x = 531,379,338 × 531,379,338
  4. Step 4: Simplify right side
    345,360,184x = 282,364,000,853,318,240
  5. Step 5: Solve for x
    x = 282,364,000,853,318,240/345,360,184
  6. Step 6: Final answer
    x = 817,592,802.92

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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.