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Finding the Third Proportional to 454,313 and 705,437

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Solution

The third proportional to 454,313 and 705,437 is: 1,095,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,313 : 705,437 = 705,437 : x
  2. Step 2: Convert to fraction form
    454,313/705,437 = 705,437/x
  3. Step 3: Cross multiply
    454,313x = 705,437 × 705,437
  4. Step 4: Simplify right side
    454,313x = 497,641,360,969
  5. Step 5: Solve for x
    x = 497,641,360,969/454,313
  6. Step 6: Final answer
    x = 1,095,371.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.