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Finding the Third Proportional to 357,863.06 and 765,374.06

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Solution

The third proportional to 357,863.06 and 765,374.06 is: 1,636,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863.06 : 765,374.06 = 765,374.06 : x
  2. Step 2: Convert to fraction form
    357,863.06/765,374.06 = 765,374.06/x
  3. Step 3: Cross multiply
    357,863.06x = 765,374.06 × 765,374.06
  4. Step 4: Simplify right side
    357,863.06x = 585,797,455,547.75
  5. Step 5: Solve for x
    x = 585,797,455,547.75/357,863.06
  6. Step 6: Final answer
    x = 1,636,931.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.