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Finding the Third Proportional to 306,263,378 and 470,748,765

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Solution

The third proportional to 306,263,378 and 470,748,765 is: 723,574,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,378 : 470,748,765 = 470,748,765 : x
  2. Step 2: Convert to fraction form
    306,263,378/470,748,765 = 470,748,765/x
  3. Step 3: Cross multiply
    306,263,378x = 470,748,765 × 470,748,765
  4. Step 4: Simplify right side
    306,263,378x = 221,604,399,749,025,216
  5. Step 5: Solve for x
    x = 221,604,399,749,025,216/306,263,378
  6. Step 6: Final answer
    x = 723,574,595.16

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Why These Related Problems?

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