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Finding the Third Proportional to 306,263,386 and 470,748,779

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Solution

The third proportional to 306,263,386 and 470,748,779 is: 723,574,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,386 : 470,748,779 = 470,748,779 : x
  2. Step 2: Convert to fraction form
    306,263,386/470,748,779 = 470,748,779/x
  3. Step 3: Cross multiply
    306,263,386x = 470,748,779 × 470,748,779
  4. Step 4: Simplify right side
    306,263,386x = 221,604,412,929,990,848
  5. Step 5: Solve for x
    x = 221,604,412,929,990,848/306,263,386
  6. Step 6: Final answer
    x = 723,574,619.30

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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.