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Finding the Third Proportional to 359,505,765 and 774,547,296

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Solution

The third proportional to 359,505,765 and 774,547,296 is: 1,668,745,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,505,765 : 774,547,296 = 774,547,296 : x
  2. Step 2: Convert to fraction form
    359,505,765/774,547,296 = 774,547,296/x
  3. Step 3: Cross multiply
    359,505,765x = 774,547,296 × 774,547,296
  4. Step 4: Simplify right side
    359,505,765x = 599,923,513,740,911,616
  5. Step 5: Solve for x
    x = 599,923,513,740,911,616/359,505,765
  6. Step 6: Final answer
    x = 1,668,745,183.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.