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Finding the Third Proportional to 559,313 and 886,058

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Solution

The third proportional to 559,313 and 886,058 is: 1,403,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,313 : 886,058 = 886,058 : x
  2. Step 2: Convert to fraction form
    559,313/886,058 = 886,058/x
  3. Step 3: Cross multiply
    559,313x = 886,058 × 886,058
  4. Step 4: Simplify right side
    559,313x = 785,098,779,364
  5. Step 5: Solve for x
    x = 785,098,779,364/559,313
  6. Step 6: Final answer
    x = 1,403,684.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.