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Finding the Third Proportional to 326,520,438 and 710,433,948

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Solution

The third proportional to 326,520,438 and 710,433,948 is: 1,545,742,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,520,438 : 710,433,948 = 710,433,948 : x
  2. Step 2: Convert to fraction form
    326,520,438/710,433,948 = 710,433,948/x
  3. Step 3: Cross multiply
    326,520,438x = 710,433,948 × 710,433,948
  4. Step 4: Simplify right side
    326,520,438x = 504,716,394,470,866,688
  5. Step 5: Solve for x
    x = 504,716,394,470,866,688/326,520,438
  6. Step 6: Final answer
    x = 1,545,742,121.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.