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Finding the Third Proportional to 482,668.88 and 710,061.19

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Solution

The third proportional to 482,668.88 and 710,061.19 is: 1,044,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,668.88 : 710,061.19 = 710,061.19 : x
  2. Step 2: Convert to fraction form
    482,668.88/710,061.19 = 710,061.19/x
  3. Step 3: Cross multiply
    482,668.88x = 710,061.19 × 710,061.19
  4. Step 4: Simplify right side
    482,668.88x = 504,186,889,993.91
  5. Step 5: Solve for x
    x = 504,186,889,993.91/482,668.88
  6. Step 6: Final answer
    x = 1,044,581.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.