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Finding the Third Proportional to 371,748 and 590,778

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Solution

The third proportional to 371,748 and 590,778 is: 938,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,748 : 590,778 = 590,778 : x
  2. Step 2: Convert to fraction form
    371,748/590,778 = 590,778/x
  3. Step 3: Cross multiply
    371,748x = 590,778 × 590,778
  4. Step 4: Simplify right side
    371,748x = 349,018,645,284
  5. Step 5: Solve for x
    x = 349,018,645,284/371,748
  6. Step 6: Final answer
    x = 938,858.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.