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Finding the Third Proportional to 326,230,827.75 and 494,084,417.63

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Solution

The third proportional to 326,230,827.75 and 494,084,417.63 is: 748,302,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,230,827.75 : 494,084,417.63 = 494,084,417.63 : x
  2. Step 2: Convert to fraction form
    326,230,827.75/494,084,417.63 = 494,084,417.63/x
  3. Step 3: Cross multiply
    326,230,827.75x = 494,084,417.63 × 494,084,417.63
  4. Step 4: Simplify right side
    326,230,827.75x = 244,119,411,739,835,424
  5. Step 5: Solve for x
    x = 244,119,411,739,835,424/326,230,827.75
  6. Step 6: Final answer
    x = 748,302,707.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.