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Finding the Third Proportional to 264,507 and 402,297

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Solution

The third proportional to 264,507 and 402,297 is: 611,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,507 : 402,297 = 402,297 : x
  2. Step 2: Convert to fraction form
    264,507/402,297 = 402,297/x
  3. Step 3: Cross multiply
    264,507x = 402,297 × 402,297
  4. Step 4: Simplify right side
    264,507x = 161,842,876,209
  5. Step 5: Solve for x
    x = 161,842,876,209/264,507
  6. Step 6: Final answer
    x = 611,866.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.