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Finding the Third Proportional to 302,713,236 and 473,828,892.50

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Solution

The third proportional to 302,713,236 and 473,828,892.50 is: 741,671,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713,236 : 473,828,892.50 = 473,828,892.50 : x
  2. Step 2: Convert to fraction form
    302,713,236/473,828,892.50 = 473,828,892.50/x
  3. Step 3: Cross multiply
    302,713,236x = 473,828,892.50 × 473,828,892.50
  4. Step 4: Simplify right side
    302,713,236x = 224,513,819,367,776,544
  5. Step 5: Solve for x
    x = 224,513,819,367,776,544/302,713,236
  6. Step 6: Final answer
    x = 741,671,630.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.