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Finding the Third Proportional to 352,701 and 761,160

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Solution

The third proportional to 352,701 and 761,160 is: 1,642,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,701 : 761,160 = 761,160 : x
  2. Step 2: Convert to fraction form
    352,701/761,160 = 761,160/x
  3. Step 3: Cross multiply
    352,701x = 761,160 × 761,160
  4. Step 4: Simplify right side
    352,701x = 579,364,545,600
  5. Step 5: Solve for x
    x = 579,364,545,600/352,701
  6. Step 6: Final answer
    x = 1,642,650.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.