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Finding the Third Proportional to 233,035.10 and 510,533.51

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Solution

The third proportional to 233,035.10 and 510,533.51 is: 1,118,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,035.10 : 510,533.51 = 510,533.51 : x
  2. Step 2: Convert to fraction form
    233,035.10/510,533.51 = 510,533.51/x
  3. Step 3: Cross multiply
    233,035.10x = 510,533.51 × 510,533.51
  4. Step 4: Simplify right side
    233,035.10x = 260,644,462,599.34
  5. Step 5: Solve for x
    x = 260,644,462,599.34/233,035.10
  6. Step 6: Final answer
    x = 1,118,477.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.