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Finding the Third Proportional to 330,277,297.50 and 524,706,196.78

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Solution

The third proportional to 330,277,297.50 and 524,706,196.78 is: 833,592,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,277,297.50 : 524,706,196.78 = 524,706,196.78 : x
  2. Step 2: Convert to fraction form
    330,277,297.50/524,706,196.78 = 524,706,196.78/x
  3. Step 3: Cross multiply
    330,277,297.50x = 524,706,196.78 × 524,706,196.78
  4. Step 4: Simplify right side
    330,277,297.50x = 275,316,592,940,643,840
  5. Step 5: Solve for x
    x = 275,316,592,940,643,840/330,277,297.50
  6. Step 6: Final answer
    x = 833,592,242.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.