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Finding the Third Proportional to 407,878.50 and 573,363

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Solution

The third proportional to 407,878.50 and 573,363 is: 805,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,878.50 : 573,363 = 573,363 : x
  2. Step 2: Convert to fraction form
    407,878.50/573,363 = 573,363/x
  3. Step 3: Cross multiply
    407,878.50x = 573,363 × 573,363
  4. Step 4: Simplify right side
    407,878.50x = 328,745,129,769
  5. Step 5: Solve for x
    x = 328,745,129,769/407,878.50
  6. Step 6: Final answer
    x = 805,987.89

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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.