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Finding the Third Proportional to 349,095,034 and 759,480,698

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Solution

The third proportional to 349,095,034 and 759,480,698 is: 1,652,303,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,095,034 : 759,480,698 = 759,480,698 : x
  2. Step 2: Convert to fraction form
    349,095,034/759,480,698 = 759,480,698/x
  3. Step 3: Cross multiply
    349,095,034x = 759,480,698 × 759,480,698
  4. Step 4: Simplify right side
    349,095,034x = 576,810,930,634,567,168
  5. Step 5: Solve for x
    x = 576,810,930,634,567,168/349,095,034
  6. Step 6: Final answer
    x = 1,652,303,454.52

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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.