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Finding the Third Proportional to 349,094,148 and 759,479,036.50

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Solution

The third proportional to 349,094,148 and 759,479,036.50 is: 1,652,300,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,094,148 : 759,479,036.50 = 759,479,036.50 : x
  2. Step 2: Convert to fraction form
    349,094,148/759,479,036.50 = 759,479,036.50/x
  3. Step 3: Cross multiply
    349,094,148x = 759,479,036.50 × 759,479,036.50
  4. Step 4: Simplify right side
    349,094,148x = 576,808,406,882,968,320
  5. Step 5: Solve for x
    x = 576,808,406,882,968,320/349,094,148
  6. Step 6: Final answer
    x = 1,652,300,418.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.