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Finding the Third Proportional to 462,564 and 528,994.13

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Solution

The third proportional to 462,564 and 528,994.13 is: 604,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564 : 528,994.13 = 528,994.13 : x
  2. Step 2: Convert to fraction form
    462,564/528,994.13 = 528,994.13/x
  3. Step 3: Cross multiply
    462,564x = 528,994.13 × 528,994.13
  4. Step 4: Simplify right side
    462,564x = 279,834,784,284.52
  5. Step 5: Solve for x
    x = 279,834,784,284.52/462,564
  6. Step 6: Final answer
    x = 604,964.47

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.