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Finding the Third Proportional to 324,663 and 711,594

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Solution

The third proportional to 324,663 and 711,594 is: 1,559,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,663 : 711,594 = 711,594 : x
  2. Step 2: Convert to fraction form
    324,663/711,594 = 711,594/x
  3. Step 3: Cross multiply
    324,663x = 711,594 × 711,594
  4. Step 4: Simplify right side
    324,663x = 506,366,020,836
  5. Step 5: Solve for x
    x = 506,366,020,836/324,663
  6. Step 6: Final answer
    x = 1,559,666.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.