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Finding the Third Proportional to 326,520,440 and 710,433,952

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Solution

The third proportional to 326,520,440 and 710,433,952 is: 1,545,742,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,520,440 : 710,433,952 = 710,433,952 : x
  2. Step 2: Convert to fraction form
    326,520,440/710,433,952 = 710,433,952/x
  3. Step 3: Cross multiply
    326,520,440x = 710,433,952 × 710,433,952
  4. Step 4: Simplify right side
    326,520,440x = 504,716,400,154,338,304
  5. Step 5: Solve for x
    x = 504,716,400,154,338,304/326,520,440
  6. Step 6: Final answer
    x = 1,545,742,129.20

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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.