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Finding the Third Proportional to 362,752 and 563,584

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Solution

The third proportional to 362,752 and 563,584 is: 875,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,752 : 563,584 = 563,584 : x
  2. Step 2: Convert to fraction form
    362,752/563,584 = 563,584/x
  3. Step 3: Cross multiply
    362,752x = 563,584 × 563,584
  4. Step 4: Simplify right side
    362,752x = 317,626,925,056
  5. Step 5: Solve for x
    x = 317,626,925,056/362,752
  6. Step 6: Final answer
    x = 875,603.51

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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.