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Finding the Third Proportional to 357,423 and 769,764

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Solution

The third proportional to 357,423 and 769,764 is: 1,657,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,423 : 769,764 = 769,764 : x
  2. Step 2: Convert to fraction form
    357,423/769,764 = 769,764/x
  3. Step 3: Cross multiply
    357,423x = 769,764 × 769,764
  4. Step 4: Simplify right side
    357,423x = 592,536,615,696
  5. Step 5: Solve for x
    x = 592,536,615,696/357,423
  6. Step 6: Final answer
    x = 1,657,802.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.