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Finding the Third Proportional to 319,480,988 and 456,546,642

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Solution

The third proportional to 319,480,988 and 456,546,642 is: 652,417,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,480,988 : 456,546,642 = 456,546,642 : x
  2. Step 2: Convert to fraction form
    319,480,988/456,546,642 = 456,546,642/x
  3. Step 3: Cross multiply
    319,480,988x = 456,546,642 × 456,546,642
  4. Step 4: Simplify right side
    319,480,988x = 208,434,836,321,476,160
  5. Step 5: Solve for x
    x = 208,434,836,321,476,160/319,480,988
  6. Step 6: Final answer
    x = 652,417,026.84

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Why These Related Problems?

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