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Finding the Third Proportional to 475,335 and 713,097

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Solution

The third proportional to 475,335 and 713,097 is: 1,069,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,335 : 713,097 = 713,097 : x
  2. Step 2: Convert to fraction form
    475,335/713,097 = 713,097/x
  3. Step 3: Cross multiply
    475,335x = 713,097 × 713,097
  4. Step 4: Simplify right side
    475,335x = 508,507,331,409
  5. Step 5: Solve for x
    x = 508,507,331,409/475,335
  6. Step 6: Final answer
    x = 1,069,787.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.