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Finding the Third Proportional to 306,263,313 and 470,748,660

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Solution

The third proportional to 306,263,313 and 470,748,660 is: 723,574,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,313 : 470,748,660 = 470,748,660 : x
  2. Step 2: Convert to fraction form
    306,263,313/470,748,660 = 470,748,660/x
  3. Step 3: Cross multiply
    306,263,313x = 470,748,660 × 470,748,660
  4. Step 4: Simplify right side
    306,263,313x = 221,604,300,891,795,584
  5. Step 5: Solve for x
    x = 221,604,300,891,795,584/306,263,313
  6. Step 6: Final answer
    x = 723,574,425.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.