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Finding the Third Proportional to 431,289,276 and 616,748,712

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Solution

The third proportional to 431,289,276 and 616,748,712 is: 881,957,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,289,276 : 616,748,712 = 616,748,712 : x
  2. Step 2: Convert to fraction form
    431,289,276/616,748,712 = 616,748,712/x
  3. Step 3: Cross multiply
    431,289,276x = 616,748,712 × 616,748,712
  4. Step 4: Simplify right side
    431,289,276x = 380,378,973,753,658,944
  5. Step 5: Solve for x
    x = 380,378,973,753,658,944/431,289,276
  6. Step 6: Final answer
    x = 881,957,875.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.