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Finding the Third Proportional to 287,528,416 and 411,168,984

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Solution

The third proportional to 287,528,416 and 411,168,984 is: 587,976,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,528,416 : 411,168,984 = 411,168,984 : x
  2. Step 2: Convert to fraction form
    287,528,416/411,168,984 = 411,168,984/x
  3. Step 3: Cross multiply
    287,528,416x = 411,168,984 × 411,168,984
  4. Step 4: Simplify right side
    287,528,416x = 169,059,933,403,592,256
  5. Step 5: Solve for x
    x = 169,059,933,403,592,256/287,528,416
  6. Step 6: Final answer
    x = 587,976,436.40

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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.