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Finding the Third Proportional to 325,482,522 and 714,175,898

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Solution

The third proportional to 325,482,522 and 714,175,898 is: 1,567,049,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,482,522 : 714,175,898 = 714,175,898 : x
  2. Step 2: Convert to fraction form
    325,482,522/714,175,898 = 714,175,898/x
  3. Step 3: Cross multiply
    325,482,522x = 714,175,898 × 714,175,898
  4. Step 4: Simplify right side
    325,482,522x = 510,047,213,284,106,432
  5. Step 5: Solve for x
    x = 510,047,213,284,106,432/325,482,522
  6. Step 6: Final answer
    x = 1,567,049,469.05

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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.