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Finding the Third Proportional to 302,713,241 and 473,828,900

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Solution

The third proportional to 302,713,241 and 473,828,900 is: 741,671,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713,241 : 473,828,900 = 473,828,900 : x
  2. Step 2: Convert to fraction form
    302,713,241/473,828,900 = 473,828,900/x
  3. Step 3: Cross multiply
    302,713,241x = 473,828,900 × 473,828,900
  4. Step 4: Simplify right side
    302,713,241x = 224,513,826,475,209,984
  5. Step 5: Solve for x
    x = 224,513,826,475,209,984/302,713,241
  6. Step 6: Final answer
    x = 741,671,641.89

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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.