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Finding the Third Proportional to 594,640 and 847,672

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Solution

The third proportional to 594,640 and 847,672 is: 1,208,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,640 : 847,672 = 847,672 : x
  2. Step 2: Convert to fraction form
    594,640/847,672 = 847,672/x
  3. Step 3: Cross multiply
    594,640x = 847,672 × 847,672
  4. Step 4: Simplify right side
    594,640x = 718,547,819,584
  5. Step 5: Solve for x
    x = 718,547,819,584/594,640
  6. Step 6: Final answer
    x = 1,208,374.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.