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Finding the Third Proportional to 370,778,313 and 560,939,496

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Solution

The third proportional to 370,778,313 and 560,939,496 is: 848,628,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,778,313 : 560,939,496 = 560,939,496 : x
  2. Step 2: Convert to fraction form
    370,778,313/560,939,496 = 560,939,496/x
  3. Step 3: Cross multiply
    370,778,313x = 560,939,496 × 560,939,496
  4. Step 4: Simplify right side
    370,778,313x = 314,653,118,172,734,016
  5. Step 5: Solve for x
    x = 314,653,118,172,734,016/370,778,313
  6. Step 6: Final answer
    x = 848,628,701.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.