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Finding the Third Proportional to 460,448 and 710,356

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Solution

The third proportional to 460,448 and 710,356 is: 1,095,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,448 : 710,356 = 710,356 : x
  2. Step 2: Convert to fraction form
    460,448/710,356 = 710,356/x
  3. Step 3: Cross multiply
    460,448x = 710,356 × 710,356
  4. Step 4: Simplify right side
    460,448x = 504,605,646,736
  5. Step 5: Solve for x
    x = 504,605,646,736/460,448
  6. Step 6: Final answer
    x = 1,095,901.48

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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.