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Finding the Third Proportional to 413,879,776 and 575,460,960

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Solution

The third proportional to 413,879,776 and 575,460,960 is: 800,124,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,879,776 : 575,460,960 = 575,460,960 : x
  2. Step 2: Convert to fraction form
    413,879,776/575,460,960 = 575,460,960/x
  3. Step 3: Cross multiply
    413,879,776x = 575,460,960 × 575,460,960
  4. Step 4: Simplify right side
    413,879,776x = 331,155,316,484,121,600
  5. Step 5: Solve for x
    x = 331,155,316,484,121,600/413,879,776
  6. Step 6: Final answer
    x = 800,124,421.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.