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Finding the Third Proportional to 387,712 and 836,528

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Solution

The third proportional to 387,712 and 836,528 is: 1,804,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,712 : 836,528 = 836,528 : x
  2. Step 2: Convert to fraction form
    387,712/836,528 = 836,528/x
  3. Step 3: Cross multiply
    387,712x = 836,528 × 836,528
  4. Step 4: Simplify right side
    387,712x = 699,779,094,784
  5. Step 5: Solve for x
    x = 699,779,094,784/387,712
  6. Step 6: Final answer
    x = 1,804,894.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.