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Finding the Third Proportional to 306,263,271 and 470,748,595.50

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Solution

The third proportional to 306,263,271 and 470,748,595.50 is: 723,574,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,271 : 470,748,595.50 = 470,748,595.50 : x
  2. Step 2: Convert to fraction form
    306,263,271/470,748,595.50 = 470,748,595.50/x
  3. Step 3: Cross multiply
    306,263,271x = 470,748,595.50 × 470,748,595.50
  4. Step 4: Simplify right side
    306,263,271x = 221,604,240,165,222,624
  5. Step 5: Solve for x
    x = 221,604,240,165,222,624/306,263,271
  6. Step 6: Final answer
    x = 723,574,326.89

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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.