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Finding the Third Proportional to 319,480,868 and 456,546,486

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Solution

The third proportional to 319,480,868 and 456,546,486 is: 652,416,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,480,868 : 456,546,486 = 456,546,486 : x
  2. Step 2: Convert to fraction form
    319,480,868/456,546,486 = 456,546,486/x
  3. Step 3: Cross multiply
    319,480,868x = 456,546,486 × 456,546,486
  4. Step 4: Simplify right side
    319,480,868x = 208,434,693,878,948,192
  5. Step 5: Solve for x
    x = 208,434,693,878,948,192/319,480,868
  6. Step 6: Final answer
    x = 652,416,826.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.