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Finding the Third Proportional to 421,323.19 and 596,159.44

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Solution

The third proportional to 421,323.19 and 596,159.44 is: 843,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,323.19 : 596,159.44 = 596,159.44 : x
  2. Step 2: Convert to fraction form
    421,323.19/596,159.44 = 596,159.44/x
  3. Step 3: Cross multiply
    421,323.19x = 596,159.44 × 596,159.44
  4. Step 4: Simplify right side
    421,323.19x = 355,406,074,920.32
  5. Step 5: Solve for x
    x = 355,406,074,920.32/421,323.19
  6. Step 6: Final answer
    x = 843,547.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.