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Finding the Third Proportional to 460,058 and 698,365

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Solution

The third proportional to 460,058 and 698,365 is: 1,060,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,058 : 698,365 = 698,365 : x
  2. Step 2: Convert to fraction form
    460,058/698,365 = 698,365/x
  3. Step 3: Cross multiply
    460,058x = 698,365 × 698,365
  4. Step 4: Simplify right side
    460,058x = 487,713,673,225
  5. Step 5: Solve for x
    x = 487,713,673,225/460,058
  6. Step 6: Final answer
    x = 1,060,113.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.