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Finding the Third Proportional to 406,808.50 and 841,905

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Solution

The third proportional to 406,808.50 and 841,905 is: 1,742,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,808.50 : 841,905 = 841,905 : x
  2. Step 2: Convert to fraction form
    406,808.50/841,905 = 841,905/x
  3. Step 3: Cross multiply
    406,808.50x = 841,905 × 841,905
  4. Step 4: Simplify right side
    406,808.50x = 708,804,029,025
  5. Step 5: Solve for x
    x = 708,804,029,025/406,808.50
  6. Step 6: Final answer
    x = 1,742,353.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.