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Finding the Third Proportional to 330,064 and 514,816

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Solution

The third proportional to 330,064 and 514,816 is: 802,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,064 : 514,816 = 514,816 : x
  2. Step 2: Convert to fraction form
    330,064/514,816 = 514,816/x
  3. Step 3: Cross multiply
    330,064x = 514,816 × 514,816
  4. Step 4: Simplify right side
    330,064x = 265,035,513,856
  5. Step 5: Solve for x
    x = 265,035,513,856/330,064
  6. Step 6: Final answer
    x = 802,982.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.