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Finding the Third Proportional to 713,218.50 and 1,058,038.88

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Solution

The third proportional to 713,218.50 and 1,058,038.88 is: 1,569,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,218.50 : 1,058,038.88 = 1,058,038.88 : x
  2. Step 2: Convert to fraction form
    713,218.50/1,058,038.88 = 1,058,038.88/x
  3. Step 3: Cross multiply
    713,218.50x = 1,058,038.88 × 1,058,038.88
  4. Step 4: Simplify right side
    713,218.50x = 1,119,446,261,011.27
  5. Step 5: Solve for x
    x = 1,119,446,261,011.27/713,218.50
  6. Step 6: Final answer
    x = 1,569,569.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.