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Finding the Third Proportional to 326,897,090 and 487,510,851

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Solution

The third proportional to 326,897,090 and 487,510,851 is: 727,038,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,897,090 : 487,510,851 = 487,510,851 : x
  2. Step 2: Convert to fraction form
    326,897,090/487,510,851 = 487,510,851/x
  3. Step 3: Cross multiply
    326,897,090x = 487,510,851 × 487,510,851
  4. Step 4: Simplify right side
    326,897,090x = 237,666,829,842,744,192
  5. Step 5: Solve for x
    x = 237,666,829,842,744,192/326,897,090
  6. Step 6: Final answer
    x = 727,038,683.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.