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Finding the Third Proportional to 564,303 and 1,206,258

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Solution

The third proportional to 564,303 and 1,206,258 is: 2,578,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,303 : 1,206,258 = 1,206,258 : x
  2. Step 2: Convert to fraction form
    564,303/1,206,258 = 1,206,258/x
  3. Step 3: Cross multiply
    564,303x = 1,206,258 × 1,206,258
  4. Step 4: Simplify right side
    564,303x = 1,455,058,362,564
  5. Step 5: Solve for x
    x = 1,455,058,362,564/564,303
  6. Step 6: Final answer
    x = 2,578,505.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.