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Finding the Third Proportional to 333,210.75 and 719,516

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Solution

The third proportional to 333,210.75 and 719,516 is: 1,553,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,210.75 : 719,516 = 719,516 : x
  2. Step 2: Convert to fraction form
    333,210.75/719,516 = 719,516/x
  3. Step 3: Cross multiply
    333,210.75x = 719,516 × 719,516
  4. Step 4: Simplify right side
    333,210.75x = 517,703,274,256
  5. Step 5: Solve for x
    x = 517,703,274,256/333,210.75
  6. Step 6: Final answer
    x = 1,553,681.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.