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Finding the Third Proportional to 302,713,242 and 473,828,901

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Solution

The third proportional to 302,713,242 and 473,828,901 is: 741,671,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713,242 : 473,828,901 = 473,828,901 : x
  2. Step 2: Convert to fraction form
    302,713,242/473,828,901 = 473,828,901/x
  3. Step 3: Cross multiply
    302,713,242x = 473,828,901 × 473,828,901
  4. Step 4: Simplify right side
    302,713,242x = 224,513,827,422,867,808
  5. Step 5: Solve for x
    x = 224,513,827,422,867,808/302,713,242
  6. Step 6: Final answer
    x = 741,671,642.57

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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.