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Finding the Third Proportional to 714,428 and 972,928

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Solution

The third proportional to 714,428 and 972,928 is: 1,324,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,428 : 972,928 = 972,928 : x
  2. Step 2: Convert to fraction form
    714,428/972,928 = 972,928/x
  3. Step 3: Cross multiply
    714,428x = 972,928 × 972,928
  4. Step 4: Simplify right side
    714,428x = 946,588,893,184
  5. Step 5: Solve for x
    x = 946,588,893,184/714,428
  6. Step 6: Final answer
    x = 1,324,960.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.