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Finding the Third Proportional to 504,902 and 776,013

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Solution

The third proportional to 504,902 and 776,013 is: 1,192,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,902 : 776,013 = 776,013 : x
  2. Step 2: Convert to fraction form
    504,902/776,013 = 776,013/x
  3. Step 3: Cross multiply
    504,902x = 776,013 × 776,013
  4. Step 4: Simplify right side
    504,902x = 602,196,176,169
  5. Step 5: Solve for x
    x = 602,196,176,169/504,902
  6. Step 6: Final answer
    x = 1,192,699.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.