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Finding the Third Proportional to 406,802.50 and 874,827.50

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Solution

The third proportional to 406,802.50 and 874,827.50 is: 1,881,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,802.50 : 874,827.50 = 874,827.50 : x
  2. Step 2: Convert to fraction form
    406,802.50/874,827.50 = 874,827.50/x
  3. Step 3: Cross multiply
    406,802.50x = 874,827.50 × 874,827.50
  4. Step 4: Simplify right side
    406,802.50x = 765,323,154,756.25
  5. Step 5: Solve for x
    x = 765,323,154,756.25/406,802.50
  6. Step 6: Final answer
    x = 1,881,313.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.